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132756944 = 2417539209
BaseRepresentation
bin1111110100110…
…11010111010000
3100020210202021212
413322123113100
5232441210234
621101235252
73201262325
oct772332720
9306722255
10132756944
1168a35291
1238562b28
1321672608
14138bab4c
15b9c55ce
hex7e9b5d0

132756944 has 40 divisors (see below), whose sum is σ = 277515720. Its totient is φ = 61288448.

The previous prime is 132756937. The next prime is 132756977. The reversal of 132756944 is 449657231.

It can be written as a sum of positive squares in 4 ways, for example, as 26419600 + 106337344 = 5140^2 + 10312^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9812 + ... + 19020.

It is an arithmetic number, because the mean of its divisors is an integer number (6937893).

Almost surely, 2132756944 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 132756944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138757860).

132756944 is an abundant number, since it is smaller than the sum of its proper divisors (144758776).

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

132756944 is a wasteful number, since it uses less digits than its factorization.

132756944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9287 (or 9281 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 132756944 is about 11522.0199617949. The cubic root of 132756944 is about 510.1357372906.

The spelling of 132756944 in words is "one hundred thirty-two million, seven hundred fifty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1802 3604 7208 9209 14416 18418 36836 73672 147344 156553 313106 488077 626212 976154 1252424 1952308 2504848 3904616 7809232 8297309 16594618 33189236 66378472 132756944