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132107976 = 233371113247
BaseRepresentation
bin1111101111111…
…00111011001000
3100012120210002000
413313330323020
5232304423401
621035311000
73162620310
oct767747310
9305523060
10132107976
1168631750
12382ab460
13214a6100
141378c440
15b8e8186
hex7dfcec8

132107976 has 384 divisors, whose sum is σ = 505958400. Its totient is φ = 31000320.

The previous prime is 132107939. The next prime is 132107981. The reversal of 132107976 is 679701231.

132107976 = T328 + T329 + ... + T938.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132107976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2810785 + ... + 2810831.

It is an arithmetic number, because the mean of its divisors is an integer number (1317600).

Almost surely, 2132107976 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 132107976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252979200).

132107976 is an abundant number, since it is smaller than the sum of its proper divisors (373850424).

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

132107976 is a wasteful number, since it uses less digits than its factorization.

132107976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 132107976 is about 11493.8233847576. The cubic root of 132107976 is about 509.3031312708.

The spelling of 132107976 in words is "one hundred thirty-two million, one hundred seven thousand, nine hundred seventy-six".