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14125664 = 257193319
BaseRepresentation
bin110101111000…
…101001100000
3222120122202202
4311320221200
512104010124
61222432332
7231031460
oct65705140
928518682
1014125664
117a78903
1248926a8
132c076a7
141c39ba0
1513905ae
hexd78a60

14125664 has 48 divisors (see below), whose sum is σ = 33465600. Its totient is φ = 5733504.

The previous prime is 14125651. The next prime is 14125669. The reversal of 14125664 is 46652141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14125669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2597 + ... + 5915.

It is an arithmetic number, because the mean of its divisors is an integer number (697200).

Almost surely, 214125664 is an apocalyptic number.

14125664 is a gapful number since it is divisible by the number (14) 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 14125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732800).

14125664 is an abundant number, since it is smaller than the sum of its proper divisors (19339936).

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

14125664 is a wasteful number, since it uses less digits than its factorization.

14125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3347 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 14125664 is about 3758.4124308011. The cubic root of 14125664 is about 241.7331941033.

The spelling of 14125664 in words is "fourteen million, one hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 3319 4256 6638 13276 23233 26552 46466 53104 63061 92932 106208 126122 185864 252244 371728 441427 504488 743456 882854 1008976 1765708 2017952 3531416 7062832 14125664