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132475356 = 2232131716651
BaseRepresentation
bin1111110010101…
…10100111011100
3100020021110000200
413321112213130
5232403202411
621051223500
73166010346
oct771264734
9306243020
10132475356
1168862772
1238447b90
13215a43b0
1413846296
15b96be56
hex7e569dc

132475356 has 72 divisors (see below), whose sum is σ = 381863664. Its totient is φ = 38361600.

The previous prime is 132475349. The next prime is 132475367. The reversal of 132475356 is 653574231.

132475356 is a `hidden beast` number, since 132 + 475 + 3 + 56 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132475356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370 + ... + 16281.

It is an arithmetic number, because the mean of its divisors is an integer number (5303662).

Almost surely, 2132475356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132475356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190931832).

132475356 is an abundant number, since it is smaller than the sum of its proper divisors (249388308).

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

132475356 is a wasteful number, since it uses less digits than its factorization.

132475356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16691 (or 16686 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 132475356 is about 11509.7939164869. The cubic root of 132475356 is about 509.7748025364.

The spelling of 132475356 in words is "one hundred thirty-two million, four hundred seventy-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 16651 33302 49953 66604 99906 149859 199812 216463 283067 299718 432926 566134 599436 649389 849201 865852 1132268 1298778 1698402 1948167 2547603 2597556 3396804 3679871 3896334 5095206 7359742 7792668 10190412 11039613 14719484 22079226 33118839 44158452 66237678 132475356