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13692096 = 2632112161
BaseRepresentation
bin110100001110…
…110011000000
3221202122000200
4310032303000
512001121341
61205245200
7224244435
oct64166300
927678020
1013692096
117802090
124703800
132ab5242
141b65b8c
151306db6
hexd0ecc0

13692096 has 84 divisors (see below), whose sum is σ = 42833544. Its totient is φ = 4147200.

The previous prime is 13692083. The next prime is 13692167. The reversal of 13692096 is 69029631.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13692096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5256 + ... + 7416.

Almost surely, 213692096 is an apocalyptic number.

13692096 is a gapful number since it is divisible by the number (16) 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 13692096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21416772).

13692096 is an abundant number, since it is smaller than the sum of its proper divisors (29141448).

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

13692096 is a wasteful number, since it uses less digits than its factorization.

13692096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 13692096 is about 3700.2832324026. The cubic root of 13692096 is about 239.2342258904.

The spelling of 13692096 in words is "thirteen million, six hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 2161 3168 4322 6336 6483 8644 12966 17288 19449 23771 25932 34576 38898 47542 51864 69152 71313 77796 95084 103728 138304 142626 155592 190168 207456 213939 285252 311184 380336 414912 427878 570504 622368 760672 855756 1141008 1244736 1521344 1711512 2282016 3423024 4564032 6846048 13692096