Base | Representation |
---|---|
bin | 1101011001111… |
… | …10100100100000 |
3 | 21211121020210000 |
4 | 12230332210200 |
5 | 212242011140 |
6 | 15054140000 |
7 | 2533561665 |
oct | 654764440 |
9 | 254536700 |
10 | 112453920 |
11 | 58528327 |
12 | 317b1600 |
13 | 1a3b42a7 |
14 | 10d13a6c |
15 | 9d14a30 |
hex | 6b3e920 |
112453920 has 120 divisors (see below), whose sum is σ = 396914364. Its totient is φ = 29984256.
The previous prime is 112453907. The next prime is 112453921. The reversal of 112453920 is 29354211.
112453920 is a `hidden beast` number, since 1 + 124 + 539 + 2 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 108243216 + 4210704 = 10404^2 + 2052^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (112453921) 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 19 ways as a sum of consecutive naturals, for example, 8622 + ... + 17298.
Almost surely, 2112453920 is an apocalyptic number.
112453920 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 112453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198457182).
112453920 is an abundant number, since it is smaller than the sum of its proper divisors (284460444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112453920 is an equidigital number, since it uses as much as digits as its factorization.
112453920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8704 (or 8687 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 112453920 is about 10604.4292632843. The cubic root of 112453920 is about 482.6787725598.
The spelling of 112453920 in words is "one hundred twelve million, four hundred fifty-three thousand, nine hundred twenty".
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