Live analysis

1,013,460

1,013,460 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,013,460 (one million thirteen thousand four hundred sixty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 7 × 19 × 127. Its proper divisors sum to 2,427,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76D4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,448 1,013,449 1,013,450 1,013,451 1,013,452 1,013,453 1,013,454 1,013,455 1,013,456 1,013,457 1,013,458 1,013,459 1,013,460 1,013,461 1,013,462 1,013,463 1,013,464 1,013,465 1,013,466 1,013,467 1,013,468 1,013,469 1,013,470 1,013,471 1,013,472

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 643,101
Square (n²): 1,027,101,171,600
Cube (n³): 1,040,925,953,369,736,000
Divisor count: 96
σ(n) — sum of divisors: 3,440,640
φ(n) — Euler's totient: 217,728
Sum of prime factors: 165

Primality

Prime factorization: 2 ² × 3 × 5 × 7 × 19 × 127

Nearest primes: 1,013,431 (−29) · 1,013,471 (+11)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 19 · 20 · 21 · 28 · 30 · 35 · 38 · 42 · 57 · 60 · 70 · 76 · 84 · 95 · 105 · 114 · 127 · 133 · 140 · 190 · 210 · 228 · 254 · 266 · 285 · 380 · 381 · 399 · 420 · 508 · 532 · 570 · 635 · 665 · 762 · 798 · 889 · 1140 · 1270 · 1330 · 1524 · 1596 · 1778 · 1905 · 1995 · 2413 · 2540 · 2660 · 2667 · 3556 · 3810 · 3990 · 4445 · 4826 · 5334 · 7239 · 7620 · 7980 · 8890 · 9652 · 10668 · 12065 · 13335 · 14478 · 16891 · 17780 · 24130 · 26670 · 28956 · 33782 · 36195 · 48260 · 50673 · 53340 · 67564 · 72390 · 84455 · 101346 · 144780 · 168910 · 202692 · 253365 · 337820 · 506730 (half) · 1013460

Aliquot sum (sum of proper divisors): 2,427,180

Factor pairs (a × b = 1,013,460)

1 × 1013460

2 × 506730

3 × 337820

4 × 253365

5 × 202692

6 × 168910

7 × 144780

10 × 101346

12 × 84455

14 × 72390

15 × 67564

19 × 53340

20 × 50673

21 × 48260

28 × 36195

30 × 33782

35 × 28956

38 × 26670

42 × 24130

57 × 17780

60 × 16891

70 × 14478

76 × 13335

84 × 12065

95 × 10668

105 × 9652

114 × 8890

127 × 7980

133 × 7620

140 × 7239

190 × 5334

210 × 4826

228 × 4445

254 × 3990

266 × 3810

285 × 3556

380 × 2667

381 × 2660

399 × 2540

420 × 2413

508 × 1995

532 × 1905

570 × 1778

635 × 1596

665 × 1524

762 × 1330

798 × 1270

889 × 1140

First multiples

1,013,460 · 2,026,920 (double) · 3,040,380 · 4,053,840 · 5,067,300 · 6,080,760 · 7,094,220 · 8,107,680 · 9,121,140 · 10,134,600

Sums & aliquot sequence

As consecutive integers: 337,819 + 337,820 + 337,821 202,690 + 202,691 + 202,692 + 202,693 + 202,694 144,777 + 144,778 + … + 144,783 126,679 + 126,680 + … + 126,686

Aliquot sequence: 1,013,460 → 2,427,180 → 5,341,140 → 13,982,892 → 27,896,148 → 56,214,060 → 123,672,276 → 268,029,216 → 713,319,264 → 1,826,840,736 → 4,371,512,544 → 10,259,809,056 — keeps growing

Continued fraction of √n

√1,013,460 = [1006; (1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2012)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand four hundred sixty
Ordinal: 1013460th
Binary: 11110111011011010100
Octal: 3673324
Hexadecimal: 0xF76D4
Base64: D3bU
One's complement: 4,293,953,835 (32-bit)
Scientific notation: 1.01346 × 10⁶
As a duration: 1,013,460 s = 11 days, 17 hours, 31 minutes

In other bases

ternary (3) 1220111012120

quaternary (4) 3313123110

quinary (5) 224412320

senary (6) 33415540

septenary (7) 11420460

nonary (9) 1814176

undecimal (11) 632478

duodecimal (12) 40a5b0

tridecimal (13) 2963a6

tetradecimal (14) 1c54a0

pentadecimal (15) 150440

As an angle

1,013,460° = 2,815 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千四百六十
Chinese (financial): 壹佰零壹萬參仟肆佰陸拾

In other modern scripts

Eastern Arabic ١٠١٣٤٦٠ Devanagari १०१३४६० Bengali ১০১৩৪৬০ Tamil ௧௦௧௩௪௬௦ Thai ๑๐๑๓๔๖๐ Tibetan ༡༠༡༣༤༦༠ Khmer ១០១៣៤៦០ Lao ໑໐໑໓໔໖໐ Burmese ၁၀၁၃၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013460, here are decompositions:

29 + 1013431 = 1013460
31 + 1013429 = 1013460
59 + 1013401 = 1013460
61 + 1013399 = 1013460
83 + 1013377 = 1013460
131 + 1013329 = 1013460
139 + 1013321 = 1013460
181 + 1013279 = 1013460

Showing the first eight; more decompositions exist.

Hex color

#0F76D4

RGB(15, 118, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.212.

Address: 0.15.118.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.212

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3460 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3460-10-01 (MMDYYYY (US, single-digit day))
3460-01-10 (DDMYYYY (Euro, single-digit month))

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,013,460 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,013,460 on Google Patents ↗ Look up on USPTO ↗