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132177640 = 2357472063
BaseRepresentation
bin1111110000011…
…01111011101000
3100012201022122011
413320031323220
5232314141030
621041005304
73163330360
oct770157350
9305638564
10132177640
116867a021
1238323834
13214cba2a
14137a99a0
15b90db2a
hex7e0dee8

132177640 has 32 divisors (see below), whose sum is σ = 339886080. Its totient is φ = 45317952.

The previous prime is 132177631. The next prime is 132177649. The reversal of 132177640 is 46771231.

132177640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132177631) and next prime (132177649).

It is not an unprimeable number, because it can be changed into a prime (132177649) 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, 235752 + ... + 236311.

It is an arithmetic number, because the mean of its divisors is an integer number (10621440).

Almost surely, 2132177640 is an apocalyptic number.

132177640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132177640 is an abundant number, since it is smaller than the sum of its proper divisors (207708440).

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

132177640 is a wasteful number, since it uses less digits than its factorization.

132177640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472081 (or 472077 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 132177640 is about 11496.8534825838. The cubic root of 132177640 is about 509.3926385050.

It can be divided in two parts, 1321 and 77640, that added together give a square (78961 = 2812).

The spelling of 132177640 in words is "one hundred thirty-two million, one hundred seventy-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 472063 944126 1888252 2360315 3304441 3776504 4720630 6608882 9441260 13217764 16522205 18882520 26435528 33044410 66088820 132177640