146,400
146,400 is a composite number, even.
146,400 (one hundred forty-six thousand four hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3 × 5² × 61. Its proper divisors sum to 337,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23BE0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 4,641
- Recamán's sequence
- a(215,616) = 146,400
- Square (n²)
- 21,432,960,000
- Cube (n³)
- 3,137,785,344,000,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 484,344
- φ(n) — Euler's totient
- 38,400
- Sum of prime factors
- 84
Primality
Prime factorization: 2 5 × 3 × 5 2 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√146,400 = [382; (1, 1, 1, 1, 1, 5, 1, 2, 3, 15, 3, 7, 3, 15, 3, 2, 1, 5, 1, 1, 1, 1, 1, 764)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred forty-six thousand four hundred
- Ordinal
- 146400th
- Binary
- 100011101111100000
- Octal
- 435740
- Hexadecimal
- 0x23BE0
- Base64
- Ajvg
- One's complement
- 4,294,820,895 (32-bit)
- Scientific notation
- 1.464 × 10⁵
- As a duration
- 146,400 s = 1 day, 16 hours, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρμϛυʹ
- Mayan (base 20)
- 𝋲·𝋦·𝋠·𝋠
- Chinese
- 一十四萬六千四百
- Chinese (financial)
- 壹拾肆萬陸仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146400, here are decompositions:
- 11 + 146389 = 146400
- 17 + 146383 = 146400
- 19 + 146381 = 146400
- 31 + 146369 = 146400
- 41 + 146359 = 146400
- 53 + 146347 = 146400
- 83 + 146317 = 146400
- 101 + 146299 = 146400
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A3 AF A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.59.224.
- Address
- 0.2.59.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.59.224
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 146,400 and was likely granted around 1873.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.