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132267640 = 2354180651
BaseRepresentation
bin1111110001000…
…11111001111000
3100012212220002111
413320203321320
5232330031030
621042542104
73164153641
oct770437170
9305786074
10132267640
11687306aa
1238367934
132153099b
14137d06c8
15b92a62a
hex7e23e78

132267640 has 32 divisors (see below), whose sum is σ = 304864560. Its totient is φ = 51616000.

The previous prime is 132267601. The next prime is 132267643. The reversal of 132267640 is 46762231.

132267640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132267643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38686 + ... + 41965.

Almost surely, 2132267640 is an apocalyptic number.

132267640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132267640 is an abundant number, since it is smaller than the sum of its proper divisors (172596920).

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

132267640 is a wasteful number, since it uses less digits than its factorization.

132267640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80703 (or 80699 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 132267640 is about 11500.7669309486. The cubic root of 132267640 is about 509.5082277378.

The spelling of 132267640 in words is "one hundred thirty-two million, two hundred sixty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 80651 161302 322604 403255 645208 806510 1613020 3226040 3306691 6613382 13226764 16533455 26453528 33066910 66133820 132267640