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132150540 = 22356133593
BaseRepresentation
bin1111110000001…
…11010100001100
3100012122221110110
413320013110030
5232312304130
621040240020
73163155354
oct770072414
9305587413
10132150540
1168660725
1238310010
13214bc5b2
141379db64
15b905ab0
hex7e0750c

132150540 has 48 divisors (see below), whose sum is σ = 370728288. Its totient is φ = 35172864.

The previous prime is 132150517. The next prime is 132150553. The reversal of 132150540 is 45051231.

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, 34984 + ... + 38576.

It is an arithmetic number, because the mean of its divisors is an integer number (7723506).

Almost surely, 2132150540 is an apocalyptic number.

132150540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132150540 is an abundant number, since it is smaller than the sum of its proper divisors (238577748).

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

132150540 is a wasteful number, since it uses less digits than its factorization.

132150540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 132150540 is about 11495.6748388253. The cubic root of 132150540 is about 509.3578230247.

The spelling of 132150540 in words is "one hundred thirty-two million, one hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 613 1226 1839 2452 3065 3593 3678 6130 7186 7356 9195 10779 12260 14372 17965 18390 21558 35930 36780 43116 53895 71860 107790 215580 2202509 4405018 6607527 8810036 11012545 13215054 22025090 26430108 33037635 44050180 66075270 132150540