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132512796 = 2232131032749
BaseRepresentation
bin1111110010111…
…11110000011100
3100020100100101100
413321133300130
5232410402141
621052113100
73166224453
oct771376034
9306310340
10132512796
1168888909
1238465790
13215b8450
1413855b9a
15b9780b6
hex7e5fc1c

132512796 has 72 divisors (see below), whose sum is σ = 364364000. Its totient is φ = 40362624.

The previous prime is 132512791. The next prime is 132512797. The reversal of 132512796 is 697215231.

132512796 is a `hidden beast` number, since 132 + 512 + 7 + 9 + 6 = 666.

It is a super-2 number, since 2×1325127962 = 35119282207475232, which contains 22 as substring.

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 132512796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132512791) by changing a digit.

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, 46830 + ... + 49578.

Almost surely, 2132512796 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 132512796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182182000).

132512796 is an abundant number, since it is smaller than the sum of its proper divisors (231851204).

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

132512796 is a wasteful number, since it uses less digits than its factorization.

132512796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2870 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 132512796 is about 11511.4202425244. The cubic root of 132512796 is about 509.8228219604.

The spelling of 132512796 in words is "one hundred thirty-two million, five hundred twelve thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 309 412 468 618 927 1236 1339 1854 2678 2749 3708 4017 5356 5498 8034 8247 10996 12051 16068 16494 24102 24741 32988 35737 48204 49482 71474 98964 107211 142948 214422 283147 321633 428844 566294 643266 849441 1132588 1286532 1698882 2548323 3397764 3680911 5096646 7361822 10193292 11042733 14723644 22085466 33128199 44170932 66256398 132512796