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13972704 = 253145549
BaseRepresentation
bin110101010011…
…010011100000
3222021212221120
4311103103200
512034111304
61215252240
7226523514
oct65232340
928255846
1013972704
117983999
12481a080
132b82b95
141bda144
1513600d9
hexd534e0

13972704 has 24 divisors (see below), whose sum is σ = 36678600. Its totient is φ = 4657536.

The previous prime is 13972703. The next prime is 13972741. The reversal of 13972704 is 40727931.

13972704 = 12422 + 12432 + ... + 12502.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972703) 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 3 ways as a sum of consecutive naturals, for example, 72679 + ... + 72870.

It is an arithmetic number, because the mean of its divisors is an integer number (1528275).

Almost surely, 213972704 is an apocalyptic number.

It is an amenable number.

13972704 is an abundant number, since it is smaller than the sum of its proper divisors (22705896).

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

13972704 is a wasteful number, since it uses less digits than its factorization.

13972704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145562 (or 145554 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 13972704 is about 3738.0080256736. The cubic root of 13972704 is about 240.8574882150.

The spelling of 13972704 in words is "thirteen million, nine hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 145549 291098 436647 582196 873294 1164392 1746588 2328784 3493176 4657568 6986352 13972704