| Base | Representation |
|---|---|
| bin | 1101110110000… |
| … | …11101010100000 |
| 3 | 22002112202201021 |
| 4 | 12323003222200 |
| 5 | 214213113200 |
| 6 | 15305215224 |
| 7 | 2610133402 |
| oct | 673035240 |
| 9 | 262482637 |
| 10 | 116144800 |
| 11 | 5a619342 |
| 12 | 32a91514 |
| 13 | 1b0a7245 |
| 14 | 115d4b72 |
| 15 | a2e341a |
| hex | 6ec3aa0 |
116144800 has 72 divisors (see below), whose sum is σ = 290536092. Its totient is φ = 45312000.
The previous prime is 116144789. The next prime is 116144803. The reversal of 116144800 is 8441611.
It can be written as a sum of positive squares in 6 ways, for example, as 11532816 + 104611984 = 3396^2 + 10228^2 .
It is a super-2 number, since 2×1161448002 = 26979229134080000, which contains 22 as substring.
It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (116144803) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31030 + ... + 34570.
Almost surely, 2116144800 is an apocalyptic number.
116144800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 116144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145268046).
116144800 is an abundant number, since it is smaller than the sum of its proper divisors (174391292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116144800 is a wasteful number, since it uses less digits than its factorization.
116144800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3602 (or 3589 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 25.
The square root of 116144800 is about 10777.0496890383. The cubic root of 116144800 is about 487.9027397319.
The spelling of 116144800 in words is "one hundred sixteen million, one hundred forty-four thousand, eight hundred".
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