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132022920 = 23359071213
BaseRepresentation
bin1111101111010…
…00001010001000
3100012102110101210
413313220022020
5232244213140
621033413120
73162114321
oct767501210
9305373353
10132022920
1168583857
123826a1a0
1321476493
1413769448
15b8ccd80
hex7de8288

132022920 has 64 divisors (see below), whose sum is σ = 396832320. Its totient is φ = 35138304.

The previous prime is 132022879. The next prime is 132022931. The reversal of 132022920 is 29220231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108234 + ... + 109446.

It is an arithmetic number, because the mean of its divisors is an integer number (6200505).

Almost surely, 2132022920 is an apocalyptic number.

132022920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132022920 is an abundant number, since it is smaller than the sum of its proper divisors (264809400).

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

132022920 is a wasteful number, since it uses less digits than its factorization.

132022920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 132022920 is about 11490.1227147494. The cubic root of 132022920 is about 509.1938050751.

The spelling of 132022920 in words is "one hundred thirty-two million, twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 907 1213 1814 2426 2721 3628 3639 4535 4852 5442 6065 7256 7278 9070 9704 10884 12130 13605 14556 18140 18195 21768 24260 27210 29112 36280 36390 48520 54420 72780 108840 145560 1100191 2200382 3300573 4400764 5500955 6601146 8801528 11001910 13202292 16502865 22003820 26404584 33005730 44007640 66011460 132022920