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132073920 = 26325112379
BaseRepresentation
bin1111101111101…
…00100111000000
3100012112001100200
413313310213000
5232302331140
621034445200
73162416106
oct767644700
9305461320
10132073920
1168609100
1238293800
1321493764
141377dc76
15b8dd030
hex7df49c0

132073920 has 252 divisors, whose sum is σ = 500649240. Its totient is φ = 31933440.

The previous prime is 132073873. The next prime is 132073937. The reversal of 132073920 is 29370231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348291 + ... + 348669.

Almost surely, 2132073920 is an apocalyptic number.

132073920 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 132073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250324620).

132073920 is an abundant number, since it is smaller than the sum of its proper divisors (368575320).

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

132073920 is a wasteful number, since it uses less digits than its factorization.

132073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 132073920 is about 11492.3417979105. The cubic root of 132073920 is about 509.2593632395.

The spelling of 132073920 in words is "one hundred thirty-two million, seventy-three thousand, nine hundred twenty".