113,520
113,520 is a composite number, even.
113,520 (one hundred thirteen thousand five hundred twenty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 11 × 43. Its proper divisors sum to 279,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 25,311
- Recamán's sequence
- a(53,799) = 113,520
- Square (n²)
- 12,886,790,400
- Cube (n³)
- 1,462,908,446,208,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 392,832
- φ(n) — Euler's totient
- 26,880
- Sum of prime factors
- 70
Primality
Prime factorization: 2 4 × 3 × 5 × 11 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,520 = [336; (1, 12, 1, 3, 17, 42, 17, 3, 1, 12, 1, 672)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand five hundred twenty
- Ordinal
- 113520th
- Binary
- 11011101101110000
- Octal
- 335560
- Hexadecimal
- 0x1BB70
- Base64
- Abtw
- One's complement
- 4,294,853,775 (32-bit)
- Scientific notation
- 1.1352 × 10⁵
- As a duration
- 113,520 s = 1 day, 7 hours, 32 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριγφκʹ
- Mayan (base 20)
- 𝋮·𝋣·𝋰·𝋠
- Chinese
- 一十一萬三千五百二十
- Chinese (financial)
- 壹拾壹萬參仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113520, here are decompositions:
- 7 + 113513 = 113520
- 19 + 113501 = 113520
- 23 + 113497 = 113520
- 31 + 113489 = 113520
- 53 + 113467 = 113520
- 67 + 113453 = 113520
- 83 + 113437 = 113520
- 103 + 113417 = 113520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.112.
- Address
- 0.1.187.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.187.112
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 113,520 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 113520 first appears in π at position 277,947 of the decimal expansion (the 277,947ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.