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132278880 = 2535275581
BaseRepresentation
bin1111110001001…
…10101001100000
3100012220110111210
413320212221200
5232330411010
621043110120
73164231466
oct770465140
9305813453
10132278880
1168739098
1238372340
1321535b36
14137d4836
15b92db20
hex7e26a60

132278880 has 48 divisors (see below), whose sum is σ = 416679984. Its totient is φ = 35274240.

The previous prime is 132278851. The next prime is 132278899. The reversal of 132278880 is 88872231.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 137311 + ... + 138270.

It is an arithmetic number, because the mean of its divisors is an integer number (8680833).

Almost surely, 2132278880 is an apocalyptic number.

132278880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132278880 is an abundant number, since it is smaller than the sum of its proper divisors (284401104).

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

132278880 is a wasteful number, since it uses less digits than its factorization.

132278880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275599 (or 275591 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 132278880 is about 11501.2555836309. The cubic root of 132278880 is about 509.5226598651.

The spelling of 132278880 in words is "one hundred thirty-two million, two hundred seventy-eight thousand, eight hundred eighty".

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 275581 551162 826743 1102324 1377905 1653486 2204648 2755810 3306972 4133715 4409296 5511620 6613944 8267430 8818592 11023240 13227888 16534860 22046480 26455776 33069720 44092960 66139440 132278880