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113,590

113,590 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.).

113,590 (one hundred thirteen thousand five hundred ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 37 × 307. Written other ways, in hexadecimal, 0x1BBB6.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
95,311
Recamán's sequence
a(55,087) = 113,590
Square (n²)
12,902,688,100
Cube (n³)
1,465,616,341,279,000
Divisor count
16
σ(n) — sum of divisors
210,672
φ(n) — Euler's totient
44,064
Sum of prime factors
351

Primality

Prime factorization: 2 × 5 × 37 × 307

Nearest primes: 113,567 (−23) · 113,591 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 37 · 74 · 185 · 307 · 370 · 614 · 1535 · 3070 · 11359 · 22718 · 56795 (half) · 113590
Aliquot sum (sum of proper divisors): 97,082
Factor pairs (a × b = 113,590)
1 × 113590
2 × 56795
5 × 22718
10 × 11359
37 × 3070
74 × 1535
185 × 614
307 × 370
First multiples
113,590 · 227,180 (double) · 340,770 · 454,360 · 567,950 · 681,540 · 795,130 · 908,720 · 1,022,310 · 1,135,900

Sums & aliquot sequence

As consecutive integers: 28,396 + 28,397 + 28,398 + 28,399 22,716 + 22,717 + 22,718 + 22,719 + 22,720 5,670 + 5,671 + … + 5,689 3,052 + 3,053 + … + 3,088
Aliquot sequence: 113,590 97,082 48,544 52,004 39,010 33,566 20,698 10,982 7,438 3,722 1,864 1,646 826 614 310 266 214 — unresolved within range

Continued fraction of √n

√113,590 = [337; (32, 10, 2, 1, 19, 6, 1, 3, 7, 1, 2, 25, 1, 1, 2, 1, 2, 2, 1, 66, 1, 2, 2, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand five hundred ninety
Ordinal
113590th
Binary
11011101110110110
Octal
335666
Hexadecimal
0x1BBB6
Base64
Abu2
One's complement
4,294,853,705 (32-bit)
Scientific notation
1.1359 × 10⁵
As a duration
113,590 s = 1 day, 7 hours, 33 minutes, 10 seconds
In other bases
ternary (3) 12202211001
quaternary (4) 123232312
quinary (5) 12113330
senary (6) 2233514
septenary (7) 652111
nonary (9) 182731
undecimal (11) 78384
duodecimal (12) 5589a
tridecimal (13) 3c919
tetradecimal (14) 2d578
pentadecimal (15) 239ca

As an angle

113,590° = 315 × 360° + 190°
190° ≈ 3.316 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριγφϟʹ
Mayan (base 20)
𝋮·𝋣·𝋳·𝋪
Chinese
一十一萬三千五百九十
Chinese (financial)
壹拾壹萬參仟伍佰玖拾
In other modern scripts
Eastern Arabic ١١٣٥٩٠ Devanagari ११३५९० Bengali ১১৩৫৯০ Tamil ௧௧௩௫௯௦ Thai ๑๑๓๕๙๐ Tibetan ༡༡༣༥༩༠ Khmer ១១៣៥៩០ Lao ໑໑໓໕໙໐ Burmese ၁၁၃၅၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113590, here are decompositions:

  • 23 + 113567 = 113590
  • 53 + 113537 = 113590
  • 89 + 113501 = 113590
  • 101 + 113489 = 113590
  • 137 + 113453 = 113590
  • 173 + 113417 = 113590
  • 227 + 113363 = 113590
  • 233 + 113357 = 113590

Showing the first eight; more decompositions exist.

Hex color
#01BBB6
RGB(1, 187, 182)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.182.

Address
0.1.187.182
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.182

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 113,590 and was likely granted around 1871.

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

Position in π

The digit sequence 113590 first appears in π at position 437,968 of the decimal expansion (the 437,968ordinal-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.

Related reading