102,400
102,400 is a composite number, even.
102,400 (one hundred two thousand four hundred) is an even 6-digit number. It is a composite number with 39 divisors, and factors as 2¹² × 5². Its proper divisors sum to 151,521, more than the number itself, making it an abundant number. It is a perfect square (320²). Written other ways, in hexadecimal, 0x19000.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 7
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 4,201
- Recamán's sequence
- a(39,887) = 102,400
- Square (n²)
- 10,485,760,000
- Cube (n³)
- 1,073,741,824,000,000
- Square root (√n)
- 320
- Divisor count
- 39
- σ(n) — sum of divisors
- 253,921
- φ(n) — Euler's totient
- 40,960
- Sum of prime factors
- 34
Primality
Prime factorization: 2 12 × 5 2
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- one hundred two thousand four hundred
- Ordinal
- 102400th
- Binary
- 11001000000000000
- Octal
- 310000
- Hexadecimal
- 0x19000
- Base64
- AZAA
- One's complement
- 4,294,864,895 (32-bit)
- Scientific notation
- 1.024 × 10⁵
- As a duration
- 102,400 s = 1 day, 4 hours, 26 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρβυʹ
- Mayan (base 20)
- 𝋬·𝋰·𝋠·𝋠
- Chinese
- 一十萬二千四百
- Chinese (financial)
- 壹拾萬貳仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 102400, here are decompositions:
- 3 + 102397 = 102400
- 41 + 102359 = 102400
- 71 + 102329 = 102400
- 83 + 102317 = 102400
- 101 + 102299 = 102400
- 107 + 102293 = 102400
- 149 + 102251 = 102400
- 167 + 102233 = 102400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.144.0.
- Address
- 0.1.144.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.144.0
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 102,400 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 102400 first appears in π at position 429,624 of the decimal expansion (the 429,624ordinal-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.