117,480
117,480 is a composite number, even.
117,480 (one hundred seventeen thousand four hundred eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 11 × 89. Its proper divisors sum to 271,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CAE8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 84,711
- Square (n²)
- 13,801,550,400
- Cube (n³)
- 1,621,406,140,992,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 388,800
- φ(n) — Euler's totient
- 28,160
- Sum of prime factors
- 114
Primality
Prime factorization: 2 3 × 3 × 5 × 11 × 89
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,480 = [342; (1, 3, 17, 3, 17, 3, 1, 684)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seventeen thousand four hundred eighty
- Ordinal
- 117480th
- Binary
- 11100101011101000
- Octal
- 345350
- Hexadecimal
- 0x1CAE8
- Base64
- Acro
- One's complement
- 4,294,849,815 (32-bit)
- Scientific notation
- 1.1748 × 10⁵
- As a duration
- 117,480 s = 1 day, 8 hours, 38 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ριζυπʹ
- Mayan (base 20)
- 𝋮·𝋭·𝋮·𝋠
- Chinese
- 一十一萬七千四百八十
- Chinese (financial)
- 壹拾壹萬柒仟肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117480, here are decompositions:
- 37 + 117443 = 117480
- 43 + 117437 = 117480
- 53 + 117427 = 117480
- 67 + 117413 = 117480
- 107 + 117373 = 117480
- 109 + 117371 = 117480
- 127 + 117353 = 117480
- 149 + 117331 = 117480
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.232.
- Address
- 0.1.202.232
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.202.232
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 117,480 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 117480 first appears in π at position 112,272 of the decimal expansion (the 112,272ordinal-suffix:nd 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°.