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13083096 = 23313192207
BaseRepresentation
bin110001111010…
…000111011000
3220121200122010
4301322013120
511322124341
61144225520
7216130065
oct61720730
926550563
1013083096
117426584
12446b2a0
132930ca0
141a47c6c
151236716
hexc7a1d8

13083096 has 64 divisors (see below), whose sum is σ = 37094400. Its totient is φ = 3811968.

The previous prime is 13083071. The next prime is 13083131. The reversal of 13083096 is 69038031.

13083096 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 is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4825 + ... + 7031.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 213083096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13083096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547200).

13083096 is an abundant number, since it is smaller than the sum of its proper divisors (24011304).

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

13083096 is a wasteful number, since it uses less digits than its factorization.

13083096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13083096 is about 3617.0562616581. The cubic root of 13083096 is about 235.6333961458.

The spelling of 13083096 in words is "thirteen million, eighty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2207 2964 4414 5928 6621 8828 13242 17656 26484 28691 41933 52968 57382 83866 86073 114764 125799 167732 172146 229528 251598 335464 344292 503196 545129 688584 1006392 1090258 1635387 2180516 3270774 4361032 6541548 13083096