Base | Representation |
---|---|
bin | 1100110111011… |
… | …01000101010000 |
3 | 21112002012102100 |
4 | 12123231011100 |
5 | 210112111330 |
6 | 14413120400 |
7 | 2450232411 |
oct | 633550520 |
9 | 245065370 |
10 | 107925840 |
11 | 55a15310 |
12 | 30189100 |
13 | 1948a259 |
14 | 10495808 |
15 | 971d060 |
hex | 66ed150 |
107925840 has 120 divisors (see below), whose sum is σ = 395430048. Its totient is φ = 26161920.
The previous prime is 107925827. The next prime is 107925841. The reversal of 107925840 is 48529701.
107925840 is a `hidden beast` number, since 1 + 0 + 79 + 2 + 584 + 0 = 666.
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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 107925795 and 107925804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (107925841) 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 23 ways as a sum of consecutive naturals, for example, 1107 + ... + 14733.
Almost surely, 2107925840 is an apocalyptic number.
107925840 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 107925840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197715024).
107925840 is an abundant number, since it is smaller than the sum of its proper divisors (287504208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107925840 is a wasteful number, since it uses less digits than its factorization.
107925840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13657 (or 13648 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 36.
The square root of 107925840 is about 10388.7362080284. The cubic root of 107925840 is about 476.1112890928. Note that the first 3 decimals are identical.
The spelling of 107925840 in words is "one hundred seven million, nine hundred twenty-five thousand, eight hundred forty".
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