Live analysis

113,040

113,040 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.).

113,040 (one hundred thirteen thousand forty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5 × 157. Its proper divisors sum to 269,004, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B990.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

113,028 113,029 113,030 113,031 113,032 113,033 113,034 113,035 113,036 113,037 113,038 113,039 113,040 113,041 113,042 113,043 113,044 113,045 113,046 113,047 113,048 113,049 113,050 113,051 113,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 40,311
Square (n²): 12,778,041,600
Cube (n³): 1,444,429,822,464,000
Divisor count: 60
σ(n) — sum of divisors: 382,044
φ(n) — Euler's totient: 29,952
Sum of prime factors: 176

Primality

Prime factorization: 2 ⁴ × 3 ² × 5 × 157

Nearest primes: 113,039 (−1) · 113,041 (+1)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 120 · 144 · 157 · 180 · 240 · 314 · 360 · 471 · 628 · 720 · 785 · 942 · 1256 · 1413 · 1570 · 1884 · 2355 · 2512 · 2826 · 3140 · 3768 · 4710 · 5652 · 6280 · 7065 · 7536 · 9420 · 11304 · 12560 · 14130 · 18840 · 22608 · 28260 · 37680 · 56520 (half) · 113040

Aliquot sum (sum of proper divisors): 269,004

Factor pairs (a × b = 113,040)

1 × 113040

2 × 56520

3 × 37680

4 × 28260

5 × 22608

6 × 18840

8 × 14130

9 × 12560

10 × 11304

12 × 9420

15 × 7536

16 × 7065

18 × 6280

20 × 5652

24 × 4710

30 × 3768

36 × 3140

40 × 2826

45 × 2512

48 × 2355

60 × 1884

72 × 1570

80 × 1413

90 × 1256

120 × 942

144 × 785

157 × 720

180 × 628

240 × 471

314 × 360

First multiples

113,040 · 226,080 (double) · 339,120 · 452,160 · 565,200 · 678,240 · 791,280 · 904,320 · 1,017,360 · 1,130,400

Sums & aliquot sequence

As a sum of two squares: 12² + 336² = 192² + 276²

As consecutive integers: 37,679 + 37,680 + 37,681 22,606 + 22,607 + 22,608 + 22,609 + 22,610 12,556 + 12,557 + … + 12,564 7,529 + 7,530 + … + 7,543

Aliquot sequence: 113,040 → 269,004 → 381,156 → 547,548 → 745,380 → 1,593,684 → 2,434,886 → 1,217,446 → 626,114 → 338,554 → 174,266 → 87,136 → 109,424 → 133,120 → 210,860 → 266,596 → 255,548 — unresolved within range

Continued fraction of √n

√113,040 = [336; (4, 1, 2, 74, 2, 1, 4, 672)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand forty
Ordinal: 113040th
Binary: 11011100110010000
Octal: 334620
Hexadecimal: 0x1B990
Base64: AbmQ
One's complement: 4,294,854,255 (32-bit)
Scientific notation: 1.1304 × 10⁵
As a duration: 113,040 s = 1 day, 7 hours, 24 minutes

In other bases

ternary (3) 12202001200

quaternary (4) 123212100

quinary (5) 12104130

senary (6) 2231200

septenary (7) 650364

nonary (9) 182050

undecimal (11) 77a24

duodecimal (12) 55500

tridecimal (13) 3c5b5

tetradecimal (14) 2d2a4

pentadecimal (15) 23760

As an angle

113,040° = 314 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριγμʹ
Mayan (base 20): 𝋮·𝋢·𝋬·𝋠
Chinese: 一十一萬三千零四十
Chinese (financial): 壹拾壹萬參仟零肆拾

In other modern scripts

Eastern Arabic ١١٣٠٤٠ Devanagari ११३०४० Bengali ১১৩০৪০ Tamil ௧௧௩௦௪௦ Thai ๑๑๓๐๔๐ Tibetan ༡༡༣༠༤༠ Khmer ១១៣០៤០ Lao ໑໑໓໐໔໐ Burmese ၁၁၃၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113040, here are decompositions:

13 + 113027 = 113040
17 + 113023 = 113040
19 + 113021 = 113040
23 + 113017 = 113040
29 + 113011 = 113040
43 + 112997 = 113040
61 + 112979 = 113040
73 + 112967 = 113040

Showing the first eight; more decompositions exist.

Hex color

#01B990

RGB(1, 185, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.144.

Address: 0.1.185.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.185.144

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

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 113,040 and was likely granted around 1871.

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

Look up US113,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 113040 first appears in π at position 19,628 of the decimal expansion (the 19,628ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 113040 on Pi Search ↗