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13736664 = 2332190787
BaseRepresentation
bin110100011001…
…101011011000
3221211220011100
4310121223120
512004033124
61210231400
7224521404
oct64315330
927756140
1013736664
117832617
124725560
132acc606
141b78104
1513151c9
hexd19ad8

13736664 has 24 divisors (see below), whose sum is σ = 37203660. Its totient is φ = 4578864.

The previous prime is 13736659. The next prime is 13736687. The reversal of 13736664 is 46663731.

It is a happy number.

13736664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95322 + ... + 95465.

Almost surely, 213736664 is an apocalyptic number.

It is an amenable number.

13736664 is an abundant number, since it is smaller than the sum of its proper divisors (23466996).

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

13736664 is a wasteful number, since it uses less digits than its factorization.

13736664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190799 (or 190792 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 13736664 is about 3706.3005814424. The cubic root of 13736664 is about 239.4935152234.

It can be divided in two parts, 13736 and 664, that added together give a square (14400 = 1202).

The spelling of 13736664 in words is "thirteen million, seven hundred thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 190787 381574 572361 763148 1144722 1526296 1717083 2289444 3434166 4578888 6868332 13736664