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132728060 = 22564310321
BaseRepresentation
bin1111110100101…
…00010011111100
3100020202021200002
413322110103330
5232434244220
621100453432
73201112163
oct772242374
9306667602
10132728060
1168a15613
123854a278
132166241a
14138b03da
15b9bbc75
hex7e944fc

132728060 has 24 divisors (see below), whose sum is σ = 279189456. Its totient is φ = 53003520.

The previous prime is 132728051. The next prime is 132728069. The reversal of 132728060 is 60827231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132728051) and next prime (132728069).

It is a super-2 number, since 2×1327280602 = 35233475822727200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132728069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7700 + ... + 18020.

It is an arithmetic number, because the mean of its divisors is an integer number (11632894).

Almost surely, 2132728060 is an apocalyptic number.

132728060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132728060 is an abundant number, since it is smaller than the sum of its proper divisors (146461396).

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

132728060 is a wasteful number, since it uses less digits than its factorization.

132728060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10973 (or 10971 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 132728060 is about 11520.7664675576. The cubic root of 132728060 is about 510.0987377712.

The spelling of 132728060 in words is "one hundred thirty-two million, seven hundred twenty-eight thousand, sixty".

Divisors: 1 2 4 5 10 20 643 1286 2572 3215 6430 10321 12860 20642 41284 51605 103210 206420 6636403 13272806 26545612 33182015 66364030 132728060