117,520
117,520 is a composite number, even.
117,520 (one hundred seventeen thousand five hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 13 × 113. Its proper divisors sum to 179,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CB10.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 25,711
- Square (n²)
- 13,810,950,400
- Cube (n³)
- 1,623,062,891,008,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 296,856
- φ(n) — Euler's totient
- 43,008
- Sum of prime factors
- 139
Primality
Prime factorization: 2 4 × 5 × 13 × 113
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,520 = [342; (1, 4, 3, 6, 4, 1, 1, 1, 1, 13, 2, 1, 1, 1, 1, 7, 1, 5, 1, 1, 1, 4, 1, 1, …)]
Representations
- In words
- one hundred seventeen thousand five hundred twenty
- Ordinal
- 117520th
- Binary
- 11100101100010000
- Octal
- 345420
- Hexadecimal
- 0x1CB10
- Base64
- AcsQ
- One's complement
- 4,294,849,775 (32-bit)
- Scientific notation
- 1.1752 × 10⁵
- As a duration
- 117,520 s = 1 day, 8 hours, 38 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριζφκʹ
- Mayan (base 20)
- 𝋮·𝋭·𝋰·𝋠
- Chinese
- 一十一萬七千五百二十
- Chinese (financial)
- 壹拾壹萬柒仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117520, here are decompositions:
- 3 + 117517 = 117520
- 17 + 117503 = 117520
- 23 + 117497 = 117520
- 83 + 117437 = 117520
- 89 + 117431 = 117520
- 107 + 117413 = 117520
- 131 + 117389 = 117520
- 149 + 117371 = 117520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.16.
- Address
- 0.1.203.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.203.16
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 117,520 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 117520 first appears in π at position 301,918 of the decimal expansion (the 301,918ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.