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13693932 = 2232731109
BaseRepresentation
bin110100001111…
…001111101100
3221202201112200
4310033033230
512001201212
61205301500
7224253000
oct64171754
927681480
1013693932
1178034aa
124704890
132ab6025
141b66700
1513076dc
hexd0f3ec

13693932 has 72 divisors (see below), whose sum is σ = 40404000. Its totient is φ = 3909024.

The previous prime is 13693919. The next prime is 13693957. The reversal of 13693932 is 23939631.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11794 + ... + 12902.

Almost surely, 213693932 is an apocalyptic number.

13693932 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 13693932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202000).

13693932 is an abundant number, since it is smaller than the sum of its proper divisors (26710068).

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

13693932 is a wasteful number, since it uses less digits than its factorization.

13693932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1121 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 13693932 is about 3700.5313132036. The cubic root of 13693932 is about 239.2449185413.

The spelling of 13693932 in words is "thirteen million, six hundred ninety-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1109 1372 1764 2058 2218 3087 3327 4116 4436 6174 6654 7763 9981 12348 13308 15526 19962 23289 31052 39924 46578 54341 69867 93156 108682 139734 163023 217364 279468 326046 380387 489069 652092 760774 978138 1141161 1521548 1956276 2282322 3423483 4564644 6846966 13693932