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132764412 = 223112693739
BaseRepresentation
bin1111110100111…
…01001011111100
3100020211010112110
413322131023330
5232441430122
621101334020
73201323154
oct772351374
9306733473
10132764412
1168a3a960
1238567310
1321675b31
14138bd764
15b9c790c
hex7e9d2fc

132764412 has 48 divisors (see below), whose sum is σ = 339292800. Its totient is φ = 40071360.

The previous prime is 132764383. The next prime is 132764447. The reversal of 132764412 is 214467231.

It is a self number, because there is not a number n which added to its sum of digits gives 132764412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33639 + ... + 37377.

It is an arithmetic number, because the mean of its divisors is an integer number (7068600).

Almost surely, 2132764412 is an apocalyptic number.

132764412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132764412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169646400).

132764412 is an abundant number, since it is smaller than the sum of its proper divisors (206528388).

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

132764412 is a wasteful number, since it uses less digits than its factorization.

132764412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4024 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 132764412 is about 11522.3440323573. The cubic root of 132764412 is about 510.1453026967.

The spelling of 132764412 in words is "one hundred thirty-two million, seven hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 269 538 807 1076 1614 2959 3228 3739 5918 7478 8877 11217 11836 14956 17754 22434 35508 41129 44868 82258 123387 164516 246774 493548 1005791 2011582 3017373 4023164 6034746 11063701 12069492 22127402 33191103 44254804 66382206 132764412