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117,440

117,440 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.).

117,440 (one hundred seventeen thousand four hundred forty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 367. Its proper divisors sum to 162,976, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CAC0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
44,711
Square (n²)
13,792,153,600
Cube (n³)
1,619,750,518,784,000
Divisor count
28
σ(n) — sum of divisors
280,416
φ(n) — Euler's totient
46,848
Sum of prime factors
384

Primality

Prime factorization: 2 6 × 5 × 367

Nearest primes: 117,437 (−3) · 117,443 (+3)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 367 · 734 · 1468 · 1835 · 2936 · 3670 · 5872 · 7340 · 11744 · 14680 · 23488 · 29360 · 58720 (half) · 117440
Aliquot sum (sum of proper divisors): 162,976
Factor pairs (a × b = 117,440)
1 × 117440
2 × 58720
4 × 29360
5 × 23488
8 × 14680
10 × 11744
16 × 7340
20 × 5872
32 × 3670
40 × 2936
64 × 1835
80 × 1468
160 × 734
320 × 367
First multiples
117,440 · 234,880 (double) · 352,320 · 469,760 · 587,200 · 704,640 · 822,080 · 939,520 · 1,056,960 · 1,174,400

Sums & aliquot sequence

As consecutive integers: 23,486 + 23,487 + 23,488 + 23,489 + 23,490 854 + 855 + … + 981 137 + 138 + … + 503
Aliquot sequence: 117,440 162,976 187,808 182,002 115,430 138,586 111,974 55,990 54,170 43,354 23,066 13,414 7,826 6,958 5,354 2,680 3,440 — unresolved within range

Continued fraction of √n

√117,440 = [342; (1, 2, 3, 1, 1, 3, 1, 1, 1, 1, 2, 3, 1, 6, 1, 13, 8, 1, 1, 1, 1, 10, 9, 1, …)]

Representations

In words
one hundred seventeen thousand four hundred forty
Ordinal
117440th
Binary
11100101011000000
Octal
345300
Hexadecimal
0x1CAC0
Base64
AcrA
One's complement
4,294,849,855 (32-bit)
Scientific notation
1.1744 × 10⁵
As a duration
117,440 s = 1 day, 8 hours, 37 minutes, 20 seconds
In other bases
ternary (3) 12222002122
quaternary (4) 130223000
quinary (5) 12224230
senary (6) 2303412
septenary (7) 666251
nonary (9) 188078
undecimal (11) 80264
duodecimal (12) 57b68
tridecimal (13) 415bb
tetradecimal (14) 30b28
pentadecimal (15) 24be5

As an angle

117,440° = 326 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριζυμʹ
Mayan (base 20)
𝋮·𝋭·𝋬·𝋠
Chinese
一十一萬七千四百四十
Chinese (financial)
壹拾壹萬柒仟肆佰肆拾
In other modern scripts
Eastern Arabic ١١٧٤٤٠ Devanagari ११७४४० Bengali ১১৭৪৪০ Tamil ௧௧௭௪௪௦ Thai ๑๑๗๔๔๐ Tibetan ༡༡༧༤༤༠ Khmer ១១៧៤៤០ Lao ໑໑໗໔໔໐ Burmese ၁၁၇၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117440, here are decompositions:

  • 3 + 117437 = 117440
  • 13 + 117427 = 117440
  • 67 + 117373 = 117440
  • 79 + 117361 = 117440
  • 109 + 117331 = 117440
  • 181 + 117259 = 117440
  • 199 + 117241 = 117440
  • 277 + 117163 = 117440

Showing the first eight; more decompositions exist.

Hex color
#01CAC0
RGB(1, 202, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.192.

Address
0.1.202.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.202.192

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 117,440 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 117440 first appears in π at position 576,815 of the decimal expansion (the 576,815ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.