180,400
180,400 is a composite number, even.
180,400 (one hundred eighty thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 11 × 41. Its proper divisors sum to 303,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2C0B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 4,081
- Recamán's sequence
- a(464,927) = 180,400
- Square (n²)
- 32,544,160,000
- Cube (n³)
- 5,870,966,464,000,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 484,344
- φ(n) — Euler's totient
- 64,000
- Sum of prime factors
- 70
Primality
Prime factorization: 2 4 × 5 2 × 11 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√180,400 = [424; (1, 2, 1, 3, 2, 10, 21, 1, 2, 5, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 5, 2, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eighty thousand four hundred
- Ordinal
- 180400th
- Binary
- 101100000010110000
- Octal
- 540260
- Hexadecimal
- 0x2C0B0
- Base64
- AsCw
- One's complement
- 4,294,786,895 (32-bit)
- Scientific notation
- 1.804 × 10⁵
- As a duration
- 180,400 s = 2 days, 2 hours, 6 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρπυʹ
- Chinese
- 一十八萬零四百
- Chinese (financial)
- 壹拾捌萬零肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 180400, here are decompositions:
- 29 + 180371 = 180400
- 53 + 180347 = 180400
- 83 + 180317 = 180400
- 89 + 180311 = 180400
- 113 + 180287 = 180400
- 137 + 180263 = 180400
- 167 + 180233 = 180400
- 179 + 180221 = 180400
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 AC 82 B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.192.176.
- Address
- 0.2.192.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.192.176
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 180,400 and was likely granted around 1875.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 180400 first appears in π at position 158,449 of the decimal expansion (the 158,449ordinal-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°.