Live analysis

1,013,390

1,013,390 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.).

1,013,390 (one million thirteen thousand three hundred ninety) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 31 × 467. Its proper divisors sum to 1,143,154, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF768E.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,378 1,013,379 1,013,380 1,013,381 1,013,382 1,013,383 1,013,384 1,013,385 1,013,386 1,013,387 1,013,388 1,013,389 1,013,390 1,013,391 1,013,392 1,013,393 1,013,394 1,013,395 1,013,396 1,013,397 1,013,398 1,013,399 1,013,400 1,013,401 1,013,402

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 933,101
Square (n²): 1,026,959,292,100
Cube (n³): 1,040,710,277,021,219,000
Divisor count: 32
σ(n) — sum of divisors: 2,156,544
φ(n) — Euler's totient: 335,520
Sum of prime factors: 512

Primality

Prime factorization: 2 × 5 × 7 × 31 × 467

Nearest primes: 1,013,377 (−13) · 1,013,399 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 5 · 7 · 10 · 14 · 31 · 35 · 62 · 70 · 155 · 217 · 310 · 434 · 467 · 934 · 1085 · 2170 · 2335 · 3269 · 4670 · 6538 · 14477 · 16345 · 28954 · 32690 · 72385 · 101339 · 144770 · 202678 · 506695 (half) · 1013390

Aliquot sum (sum of proper divisors): 1,143,154

Factor pairs (a × b = 1,013,390)

1 × 1013390

2 × 506695

5 × 202678

7 × 144770

10 × 101339

14 × 72385

31 × 32690

35 × 28954

62 × 16345

70 × 14477

155 × 6538

217 × 4670

310 × 3269

434 × 2335

467 × 2170

934 × 1085

First multiples

1,013,390 · 2,026,780 (double) · 3,040,170 · 4,053,560 · 5,066,950 · 6,080,340 · 7,093,730 · 8,107,120 · 9,120,510 · 10,133,900

Sums & aliquot sequence

As consecutive integers: 253,346 + 253,347 + 253,348 + 253,349 202,676 + 202,677 + 202,678 + 202,679 + 202,680 144,767 + 144,768 + … + 144,773 50,660 + 50,661 + … + 50,679

Aliquot sequence: 1,013,390 → 1,143,154 → 692,846 → 615,874 → 439,934 → 279,994 → 222,746 → 111,376 → 104,446 → 52,226 → 26,116 → 19,594 → 10,394 → 5,200 → 8,254 → 4,130 → 4,510 — unresolved within range

Continued fraction of √n

√1,013,390 = [1006; (1, 2, 17, 1, 32, 16, 1, 1, 1, 1, 3, 1, 10, 2, 1, 14, 2, 1, 6, 1, 3, 11, 1, 1, …)]

Representations

In words: one million thirteen thousand three hundred ninety
Ordinal: 1013390th
Binary: 11110111011010001110
Octal: 3673216
Hexadecimal: 0xF768E
Base64: D3aO
One's complement: 4,293,953,905 (32-bit)
Scientific notation: 1.01339 × 10⁶
As a duration: 1,013,390 s = 11 days, 17 hours, 29 minutes, 50 seconds

In other bases

ternary (3) 1220111002222

quaternary (4) 3313122032

quinary (5) 224412030

senary (6) 33415342

septenary (7) 11420330

nonary (9) 1814088

undecimal (11) 632414

duodecimal (12) 40a552

tridecimal (13) 296351

tetradecimal (14) 1c5450

pentadecimal (15) 1503e5

As an angle

1,013,390° = 2,814 × 360° + 350°

350° ≈ 6.109 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千三百九十
Chinese (financial): 壹佰零壹萬參仟參佰玖拾

In other modern scripts

Eastern Arabic ١٠١٣٣٩٠ Devanagari १०१३३९० Bengali ১০১৩৩৯০ Tamil ௧௦௧௩௩௯௦ Thai ๑๐๑๓๓๙๐ Tibetan ༡༠༡༣༣༩༠ Khmer ១០១៣៣៩០ Lao ໑໐໑໓໓໙໐ Burmese ၁၀၁၃၃၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013390, here are decompositions:

13 + 1013377 = 1013390
61 + 1013329 = 1013390
127 + 1013263 = 1013390
151 + 1013239 = 1013390
163 + 1013227 = 1013390
193 + 1013197 = 1013390
337 + 1013053 = 1013390
349 + 1013041 = 1013390

Showing the first eight; more decompositions exist.

Hex color

#0F768E

RGB(15, 118, 142)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.142.

Address: 0.15.118.142
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.142

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3390 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3390-10-01 (MMDYYYY (US, single-digit day))
3390-01-10 (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 1,013,390 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 US1,013,390 on Google Patents ↗ Look up on USPTO ↗