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132663664 = 2475322349
BaseRepresentation
bin1111110100001…
…00100101110000
3100020122000100001
413322010211300
5232430214124
621055235344
73200423350
oct772044560
9306560301
10132663664
11689811a1
1238518b54
132163c013
1413894b60
15b9a7b44
hex7e84970

132663664 has 40 divisors (see below), whose sum is σ = 299311200. Its totient is φ = 55780608.

The previous prime is 132663653. The next prime is 132663677. The reversal of 132663664 is 466366231.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5239 + ... + 17110.

It is an arithmetic number, because the mean of its divisors is an integer number (7482780).

Almost surely, 2132663664 is an apocalyptic number.

132663664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132663664 is an abundant number, since it is smaller than the sum of its proper divisors (166647536).

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

132663664 is a wasteful number, since it uses less digits than its factorization.

132663664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22417 (or 22411 counting only the distinct ones).

The product of its digits is 93312, while the sum is 37.

The square root of 132663664 is about 11517.9713491569. The cubic root of 132663664 is about 510.0162291388.

The spelling of 132663664 in words is "one hundred thirty-two million, six hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 5936 22349 44698 89396 156443 178792 312886 357584 625772 1184497 1251544 2368994 2503088 4737988 8291479 9475976 16582958 18951952 33165916 66331832 132663664