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132726920 = 2353318173
BaseRepresentation
bin1111110100101…
…00000010001000
3100020202020002212
413322110002020
5232434230140
621100444252
73201105644
oct772240210
9306666085
10132726920
1168a14777
1238549688
1321661a51
14138adc24
15b9bb765
hex7e94088

132726920 has 16 divisors (see below), whose sum is σ = 298635660. Its totient is φ = 53090752.

The previous prime is 132726907. The next prime is 132726947. The reversal of 132726920 is 29627231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 115304644 + 17422276 = 10738^2 + 4174^2 .

It is a super-3 number, since 3×1327269203 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1659047 + ... + 1659126.

Almost surely, 2132726920 is an apocalyptic number.

132726920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132726920 is an abundant number, since it is smaller than the sum of its proper divisors (165908740).

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

132726920 is a wasteful number, since it uses less digits than its factorization.

132726920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318184 (or 3318180 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 132726920 is about 11520.7169915765. The cubic root of 132726920 is about 510.0972773560.

The spelling of 132726920 in words is "one hundred thirty-two million, seven hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3318173 6636346 13272692 16590865 26545384 33181730 66363460 132726920