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13693152 = 2531112967
BaseRepresentation
bin110100001111…
…000011100000
3221202200110210
4310033003200
512001140102
61205254120
7224250504
oct64170340
927680423
1013693152
117802960
124704340
132ab5875
141b66304
15130736c
hexd0f0e0

13693152 has 48 divisors (see below), whose sum is σ = 39215232. Its totient is φ = 4149120.

The previous prime is 13693117. The next prime is 13693159. The reversal of 13693152 is 25139631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13693159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5428 + ... + 7539.

It is an arithmetic number, because the mean of its divisors is an integer number (816984).

Almost surely, 213693152 is an apocalyptic number.

13693152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13693152 is an abundant number, since it is smaller than the sum of its proper divisors (25522080).

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

13693152 is a wasteful number, since it uses less digits than its factorization.

13693152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12991 (or 12983 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 13693152 is about 3700.4259214312. The cubic root of 13693152 is about 239.2403760286.

The spelling of 13693152 in words is "thirteen million, six hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 12967 25934 38901 51868 77802 103736 142637 155604 207472 285274 311208 414944 427911 570548 622416 855822 1141096 1244832 1711644 2282192 3423288 4564384 6846576 13693152