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14125904 = 2413113601
BaseRepresentation
bin110101111000…
…101101010000
3222120200002122
4311320231100
512104012104
61222433412
7231032252
oct65705520
928520078
1014125904
117a79001
124892868
132c07830
141c39cd2
1513906be
hexd78b50

14125904 has 40 divisors (see below), whose sum is σ = 29784552. Its totient is φ = 6451200.

The previous prime is 14125889. The next prime is 14125907. The reversal of 14125904 is 40952141.

14125904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48400 + 14077504 = 220^2 + 3752^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14125907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23204 + ... + 23804.

Almost surely, 214125904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14125904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892276).

14125904 is an abundant number, since it is smaller than the sum of its proper divisors (15658648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14125904 is a wasteful number, since it uses less digits than its factorization.

14125904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 14125904 is about 3758.4443590401. Note that the first 3 decimals coincide. The cubic root of 14125904 is about 241.7345631396.

The spelling of 14125904 in words is "fourteen million, one hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 113 208 226 452 601 904 1202 1469 1808 2404 2938 4808 5876 7813 9616 11752 15626 23504 31252 62504 67913 125008 135826 271652 543304 882869 1086608 1765738 3531476 7062952 14125904