Live analysis

1,013,540

1,013,540 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.).

1,013,540 (one million thirteen thousand five hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 17 × 271. Its proper divisors sum to 1,454,044, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7724.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,528 1,013,529 1,013,530 1,013,531 1,013,532 1,013,533 1,013,534 1,013,535 1,013,536 1,013,537 1,013,538 1,013,539 1,013,540 1,013,541 1,013,542 1,013,543 1,013,544 1,013,545 1,013,546 1,013,547 1,013,548 1,013,549 1,013,550 1,013,551 1,013,552

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 453,101
Square (n²): 1,027,263,331,600
Cube (n³): 1,041,172,477,109,864,000
Divisor count: 48
σ(n) — sum of divisors: 2,467,584
φ(n) — Euler's totient: 345,600
Sum of prime factors: 308

Primality

Prime factorization: 2 ² × 5 × 11 × 17 × 271

Nearest primes: 1,013,533 (−7) · 1,013,563 (+23)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 10 · 11 · 17 · 20 · 22 · 34 · 44 · 55 · 68 · 85 · 110 · 170 · 187 · 220 · 271 · 340 · 374 · 542 · 748 · 935 · 1084 · 1355 · 1870 · 2710 · 2981 · 3740 · 4607 · 5420 · 5962 · 9214 · 11924 · 14905 · 18428 · 23035 · 29810 · 46070 · 50677 · 59620 · 92140 · 101354 · 202708 · 253385 · 506770 (half) · 1013540

Aliquot sum (sum of proper divisors): 1,454,044

Factor pairs (a × b = 1,013,540)

1 × 1013540

2 × 506770

4 × 253385

5 × 202708

10 × 101354

11 × 92140

17 × 59620

20 × 50677

22 × 46070

34 × 29810

44 × 23035

55 × 18428

68 × 14905

85 × 11924

110 × 9214

170 × 5962

187 × 5420

220 × 4607

271 × 3740

340 × 2981

374 × 2710

542 × 1870

748 × 1355

935 × 1084

First multiples

1,013,540 · 2,027,080 (double) · 3,040,620 · 4,054,160 · 5,067,700 · 6,081,240 · 7,094,780 · 8,108,320 · 9,121,860 · 10,135,400

Sums & aliquot sequence

As consecutive integers: 202,706 + 202,707 + 202,708 + 202,709 + 202,710 126,689 + 126,690 + … + 126,696 92,135 + 92,136 + … + 92,145 59,612 + 59,613 + … + 59,628

Aliquot sequence: 1,013,540 → 1,454,044 → 1,240,340 → 1,364,416 → 1,343,224 → 1,308,176 → 1,226,446 → 802,658 → 401,332 → 301,006 → 150,506 → 75,256 → 72,344 → 63,316 → 57,644 → 43,240 → 60,440 — unresolved within range

Continued fraction of √n

√1,013,540 = [1006; (1, 2, 1, 21, 1, 6, 1, 10, 105, 1, 7, 2, 3, 3, 2, 2, 2, 1, 1, 1, 4, 2, 1, 4, …)]

Representations

In words: one million thirteen thousand five hundred forty
Ordinal: 1013540th
Binary: 11110111011100100100
Octal: 3673444
Hexadecimal: 0xF7724
Base64: D3ck
One's complement: 4,293,953,755 (32-bit)
Scientific notation: 1.01354 × 10⁶
As a duration: 1,013,540 s = 11 days, 17 hours, 32 minutes, 20 seconds

In other bases

ternary (3) 1220111022112

quaternary (4) 3313130210

quinary (5) 224413130

senary (6) 33420152

septenary (7) 11420633

nonary (9) 1814275

undecimal (11) 632540

duodecimal (12) 40a658

tridecimal (13) 296438

tetradecimal (14) 1c551a

pentadecimal (15) 150495

As an angle

1,013,540° = 2,815 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千五百四十
Chinese (financial): 壹佰零壹萬參仟伍佰肆拾

In other modern scripts

Eastern Arabic ١٠١٣٥٤٠ Devanagari १०१३५४० Bengali ১০১৩৫৪০ Tamil ௧௦௧௩௫௪௦ Thai ๑๐๑๓๕๔๐ Tibetan ༡༠༡༣༥༤༠ Khmer ១០១៣៥៤០ Lao ໑໐໑໓໕໔໐ Burmese ၁၀၁၃၅၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013540, here are decompositions:

7 + 1013533 = 1013540
13 + 1013527 = 1013540
37 + 1013503 = 1013540
109 + 1013431 = 1013540
139 + 1013401 = 1013540
163 + 1013377 = 1013540
211 + 1013329 = 1013540
277 + 1013263 = 1013540

Showing the first eight; more decompositions exist.

Hex color

#0F7724

RGB(15, 119, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.36.

Address: 0.15.119.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.36

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3540 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3540-10-01 (MMDYYYY (US, single-digit day))
3540-01-10 (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 1,013,540 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 US1,013,540 on Google Patents ↗ Look up on USPTO ↗