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132068160 = 2632576551
BaseRepresentation
bin1111101111100…
…11001101000000
3100012111202110100
413313303031000
5232302140120
621034402400
73162363240
oct767631500
9305452410
10132068160
1168604844
1238290400
1321490c53
141377bb20
15b8db490
hex7df3340

132068160 has 168 divisors, whose sum is σ = 519232896. Its totient is φ = 30182400.

The previous prime is 132068143. The next prime is 132068161. The reversal of 132068160 is 61860231.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132068161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16885 + ... + 23435.

It is an arithmetic number, because the mean of its divisors is an integer number (3090672).

Almost surely, 2132068160 is an apocalyptic number.

132068160 is a gapful number since it is divisible by the number (10) 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 132068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259616448).

132068160 is an abundant number, since it is smaller than the sum of its proper divisors (387164736).

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

132068160 is a wasteful number, since it uses less digits than its factorization.

132068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 132068160 is about 11492.0911935122. The cubic root of 132068160 is about 509.2519598688.

The spelling of 132068160 in words is "one hundred thirty-two million, sixty-eight thousand, one hundred sixty".