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132162720 = 2535275339
BaseRepresentation
bin1111110000010…
…10010010100000
3100012200120011120
413320022102200
5232313201340
621040412240
73163236024
oct770122240
9305616146
10132162720
1168669898
1238317080
13214c4cc1
14137a4384
15b9094d0
hex7e0a4a0

132162720 has 48 divisors (see below), whose sum is σ = 416314080. Its totient is φ = 35243264.

The previous prime is 132162697. The next prime is 132162739. The reversal of 132162720 is 27261231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137190 + ... + 138149.

It is an arithmetic number, because the mean of its divisors is an integer number (8673210).

Almost surely, 2132162720 is an apocalyptic number.

132162720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132162720 is an abundant number, since it is smaller than the sum of its proper divisors (284151360).

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

132162720 is a wasteful number, since it uses less digits than its factorization.

132162720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275357 (or 275349 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 132162720 is about 11496.2045910814. The cubic root of 132162720 is about 509.3734713091.

The spelling of 132162720 in words is "one hundred thirty-two million, one hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 275339 550678 826017 1101356 1376695 1652034 2202712 2753390 3304068 4130085 4405424 5506780 6608136 8260170 8810848 11013560 13216272 16520340 22027120 26432544 33040680 44054240 66081360 132162720