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13693104 = 2433291093
BaseRepresentation
bin110100001111…
…000010110000
3221202200102000
4310033002300
512001134404
61205254000
7224250405
oct64170260
927680360
1013693104
117802917
124704300
132ab5839
141b662ac
151307339
hexd0f0b0

13693104 has 80 divisors (see below), whose sum is σ = 40696800. Its totient is φ = 4402944.

The previous prime is 13693079. The next prime is 13693117. The reversal of 13693104 is 40139631.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11982 + ... + 13074.

It is an arithmetic number, because the mean of its divisors is an integer number (508710).

Almost surely, 213693104 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 13693104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20348400).

13693104 is an abundant number, since it is smaller than the sum of its proper divisors (27003696).

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

13693104 is a wasteful number, since it uses less digits than its factorization.

13693104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13693104 is about 3700.4194356856. The cubic root of 13693104 is about 239.2400964838.

The spelling of 13693104 in words is "thirteen million, six hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1093 1392 1566 2088 2186 3132 3279 4176 4372 6264 6558 8744 9837 12528 13116 17488 19674 26232 29511 31697 39348 52464 59022 63394 78696 95091 118044 126788 157392 190182 236088 253576 285273 380364 472176 507152 570546 760728 855819 1141092 1521456 1711638 2282184 3423276 4564368 6846552 13693104