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13466016 = 253246757
BaseRepresentation
bin110011010111…
…100110100000
3221100010220100
4303113212200
511421403031
61200342400
7222313344
oct63274640
927303810
1013466016
117668243
124614a00
132a36375
141b07624
1512aede6
hexcd79a0

13466016 has 36 divisors (see below), whose sum is σ = 38294802. Its totient is φ = 4488576.

The previous prime is 13465993. The next prime is 13466051. The reversal of 13466016 is 61066431.

13466016 is a `hidden beast` number, since 13 + 46 + 601 + 6 = 666.

13466016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8643600 + 4822416 = 2940^2 + 2196^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23091 + ... + 23666.

Almost surely, 213466016 is an apocalyptic number.

13466016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13466016 is an abundant number, since it is smaller than the sum of its proper divisors (24828786).

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

13466016 is a wasteful number, since it uses less digits than its factorization.

13466016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46773 (or 46762 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13466016 is about 3669.6070634334. The cubic root of 13466016 is about 237.9101890262.

The spelling of 13466016 in words is "thirteen million, four hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 46757 93514 140271 187028 280542 374056 420813 561084 748112 841626 1122168 1496224 1683252 2244336 3366504 4488672 6733008 13466016