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13146016 = 251331601
BaseRepresentation
bin110010001001…
…011110100000
3220201212221111
4302021132200
511331133031
61145433104
7216511402
oct62113640
926655844
1013146016
117469884
12449b794
132953810
141a62b72
15124a1b1
hexc897a0

13146016 has 24 divisors (see below), whose sum is σ = 27872964. Its totient is φ = 6067200.

The previous prime is 13146011. The next prime is 13146053. The reversal of 13146016 is 61064131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13104400 + 41616 = 3620^2 + 204^2 .

It is not an unprimeable number, because it can be changed into a prime (13146011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15385 + ... + 16216.

Almost surely, 213146016 is an apocalyptic number.

13146016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13146016 is an abundant number, since it is smaller than the sum of its proper divisors (14726948).

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

13146016 is a wasteful number, since it uses less digits than its factorization.

13146016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31624 (or 31616 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13146016 is about 3625.7435099576. The cubic root of 13146016 is about 236.0105329015.

The spelling of 13146016 in words is "thirteen million, one hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 31601 63202 126404 252808 410813 505616 821626 1011232 1643252 3286504 6573008 13146016