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132928900 = 225213102253
BaseRepresentation
bin1111110110001…
…01010110000100
3100021010111011121
413323011112010
5233012211100
621105043324
73202606546
oct773052604
9307114147
10132928900
11690424a5
1238626544
1321702970
1413923696
15ba0b51a
hex7ec5584

132928900 has 36 divisors (see below), whose sum is σ = 310647652. Its totient is φ = 49080960.

The previous prime is 132928877. The next prime is 132928907. The reversal of 132928900 is 9829231.

It can be written as a sum of positive squares in 6 ways, for example, as 770884 + 132158016 = 878^2 + 11496^2 .

It is not an unprimeable number, because it can be changed into a prime (132928907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49827 + ... + 52426.

Almost surely, 2132928900 is an apocalyptic number.

132928900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132928900 is an abundant number, since it is smaller than the sum of its proper divisors (177718752).

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

132928900 is a wasteful number, since it uses less digits than its factorization.

132928900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102280 (or 102273 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 132928900 is about 11529.4796066431. The cubic root of 132928900 is about 510.3558966569.

The spelling of 132928900 in words is "one hundred thirty-two million, nine hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 102253 204506 409012 511265 1022530 1329289 2045060 2556325 2658578 5112650 5317156 6646445 10225300 13292890 26585780 33232225 66464450 132928900