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132191520 = 2535275399
BaseRepresentation
bin1111110000100…
…01010100100000
3100012202000200020
413320101110200
5232320112040
621041153440
73163416006
oct770212440
9305660606
10132191520
116868949a
123832b880
1321505146
14137b0a76
15b912cd0
hex7e11520

132191520 has 48 divisors (see below), whose sum is σ = 416404800. Its totient is φ = 35250944.

The previous prime is 132191519. The next prime is 132191551. The reversal of 132191520 is 25191231.

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, 137220 + ... + 138179.

It is an arithmetic number, because the mean of its divisors is an integer number (8675100).

Almost surely, 2132191520 is an apocalyptic number.

132191520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132191520 is an abundant number, since it is smaller than the sum of its proper divisors (284213280).

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

132191520 is a wasteful number, since it uses less digits than its factorization.

132191520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275417 (or 275409 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 132191520 is about 11497.4571101614. The cubic root of 132191520 is about 509.4104683546.

The spelling of 132191520 in words is "one hundred thirty-two million, one hundred ninety-one thousand, five 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 275399 550798 826197 1101596 1376995 1652394 2203192 2753990 3304788 4130985 4406384 5507980 6609576 8261970 8812768 11015960 13219152 16523940 22031920 26438304 33047880 44063840 66095760 132191520