110,400
110,400 is a composite number, even.
110,400 (one hundred ten thousand four hundred) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3 × 5² × 23. Its proper divisors sum to 267,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AF40.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 4,011
- Recamán's sequence
- a(78,143) = 110,400
- Square (n²)
- 12,188,160,000
- Cube (n³)
- 1,345,572,864,000,000
- Divisor count
- 84
- σ(n) — sum of divisors
- 377,952
- φ(n) — Euler's totient
- 28,160
- Sum of prime factors
- 48
Primality
Prime factorization: 2 6 × 3 × 5 2 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,400 = [332; (3, 1, 3, 2, 3, 26, 3, 2, 3, 1, 3, 664)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred ten thousand four hundred
- Ordinal
- 110400th
- Binary
- 11010111101000000
- Octal
- 327500
- Hexadecimal
- 0x1AF40
- Base64
- Aa9A
- One's complement
- 4,294,856,895 (32-bit)
- Scientific notation
- 1.104 × 10⁵
- As a duration
- 110,400 s = 1 day, 6 hours, 40 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ριυʹ
- Mayan (base 20)
- 𝋭·𝋰·𝋠·𝋠
- Chinese
- 一十一萬零四百
- Chinese (financial)
- 壹拾壹萬零肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110400, here are decompositions:
- 41 + 110359 = 110400
- 61 + 110339 = 110400
- 79 + 110321 = 110400
- 89 + 110311 = 110400
- 109 + 110291 = 110400
- 127 + 110273 = 110400
- 131 + 110269 = 110400
- 139 + 110261 = 110400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.175.64.
- Address
- 0.1.175.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.175.64
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 110,400 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 110400 first appears in π at position 73,957 of the decimal expansion (the 73,957ordinal-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°.