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13464972 = 22321512477
BaseRepresentation
bin110011010111…
…010110001100
3221100002110200
4303113112030
511421334342
61200333500
7222310323
oct63272614
927302420
1013464972
117667484
124614290
132a35a51
141b070ba
1512ae94c
hexcd758c

13464972 has 36 divisors (see below), whose sum is σ = 34275696. Its totient is φ = 4456800.

The previous prime is 13464883. The next prime is 13464973. The reversal of 13464972 is 27946431.

13464972 is a `hidden beast` number, since 1 + 3 + 4 + 649 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13464973) 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 11 ways as a sum of consecutive naturals, for example, 4198 + ... + 6674.

Almost surely, 213464972 is an apocalyptic number.

13464972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13464972 is an abundant number, since it is smaller than the sum of its proper divisors (20810724).

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

13464972 is a wasteful number, since it uses less digits than its factorization.

13464972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2633 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13464972 is about 3669.4648111135. The cubic root of 13464972 is about 237.9040405940.

The spelling of 13464972 in words is "thirteen million, four hundred sixty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1812 2477 2718 4954 5436 7431 9908 14862 22293 29724 44586 89172 374027 748054 1122081 1496108 2244162 3366243 4488324 6732486 13464972