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132357920 = 2551748661
BaseRepresentation
bin1111110001110…
…01111100100000
3100020001110221012
413320321330200
5232340423140
621044520052
73165011102
oct770717440
9306043835
10132357920
1168792512
12383b0028
1321562ac6
1413815572
15b947265
hex7e39f20

132357920 has 48 divisors (see below), whose sum is σ = 331096248. Its totient is φ = 49827840.

The previous prime is 132357899. The next prime is 132357947. The reversal of 132357920 is 29753231.

It can be written as a sum of positive squares in 4 ways, for example, as 110418064 + 21939856 = 10508^2 + 4684^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21611 + ... + 27050.

Almost surely, 2132357920 is an apocalyptic number.

132357920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132357920 is an abundant number, since it is smaller than the sum of its proper divisors (198738328).

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

132357920 is a wasteful number, since it uses less digits than its factorization.

132357920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48693 (or 48685 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 132357920 is about 11504.6912170645. The cubic root of 132357920 is about 509.6241239144.

The spelling of 132357920 in words is "one hundred thirty-two million, three hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 48661 97322 194644 243305 389288 486610 778576 827237 973220 1557152 1654474 1946440 3308948 3892880 4136185 6617896 7785760 8272370 13235792 16544740 26471584 33089480 66178960 132357920