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13097292 = 22313591423
BaseRepresentation
bin110001111101…
…100101001100
3220122102002220
4301331211030
511323103132
61144415340
7216216345
oct61754514
926572086
1013097292
11743620a
124477550
1329375a0
141a4d0cc
15123aa2c
hexc7d94c

13097292 has 48 divisors (see below), whose sum is σ = 33492480. Its totient is φ = 3958848.

The previous prime is 13097291. The next prime is 13097321. The reversal of 13097292 is 29279031.

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 not an unprimeable number, because it can be changed into a prime (13097291) 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 15 ways as a sum of consecutive naturals, for example, 8493 + ... + 9915.

It is an arithmetic number, because the mean of its divisors is an integer number (697760).

Almost surely, 213097292 is an apocalyptic number.

13097292 is a gapful number since it is divisible by the number (12) 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 13097292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746240).

13097292 is an abundant number, since it is smaller than the sum of its proper divisors (20395188).

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

13097292 is a wasteful number, since it uses less digits than its factorization.

13097292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 13097292 is about 3619.0180988771. The cubic root of 13097292 is about 235.7185911322.

The spelling of 13097292 in words is "thirteen million, ninety-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1423 1534 2301 2846 3068 4269 4602 5692 8538 9204 17076 18499 36998 55497 73996 83957 110994 167914 221988 251871 335828 503742 1007484 1091441 2182882 3274323 4365764 6548646 13097292