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13639932 = 22321073541
BaseRepresentation
bin110100000010…
…000011111100
3221122222110200
4310002003330
511442434212
61204203500
7223636365
oct64020374
927588420
1013639932
117776979
124699590
132a97587
141b50b6c
1512e66dc
hexd020fc

13639932 has 36 divisors (see below), whose sum is σ = 34810776. Its totient is φ = 4502880.

The previous prime is 13639919. The next prime is 13639937. The reversal of 13639932 is 23993631.

It is a happy number.

13639932 is a `hidden beast` number, since 13 + 639 + 9 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13639937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2082 + ... + 5622.

It is an arithmetic number, because the mean of its divisors is an integer number (966966).

Almost surely, 213639932 is an apocalyptic number.

13639932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13639932 is an abundant number, since it is smaller than the sum of its proper divisors (21170844).

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

13639932 is a wasteful number, since it uses less digits than its factorization.

13639932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3653 counting only the distinct ones).

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

The square root of 13639932 is about 3693.2278564963. The cubic root of 13639932 is about 238.9300285938.

The spelling of 13639932 in words is "thirteen million, six hundred thirty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3541 3852 7082 10623 14164 21246 31869 42492 63738 127476 378887 757774 1136661 1515548 2273322 3409983 4546644 6819966 13639932