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132973992 = 23321846861
BaseRepresentation
bin1111110110100…
…00010110101000
3100021012210000200
413323100112220
5233020131432
621110032200
73203155164
oct773202650
9307183020
10132973992
1169073368
1238648660
132171a348
1413935ca4
15ba19a7c
hex7ed05a8

132973992 has 24 divisors (see below), whose sum is σ = 360138090. Its totient is φ = 44324640.

The previous prime is 132973891. The next prime is 132973999. The reversal of 132973992 is 299379231.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 132848676 + 125316 = 11526^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (132973999) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 923359 + ... + 923502.

Almost surely, 2132973992 is an apocalyptic number.

132973992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132973992 is an abundant number, since it is smaller than the sum of its proper divisors (227164098).

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

132973992 is a wasteful number, since it uses less digits than its factorization.

132973992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846873 (or 1846866 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 132973992 is about 11531.4349497363. The cubic root of 132973992 is about 510.4135975944.

The spelling of 132973992 in words is "one hundred thirty-two million, nine hundred seventy-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1846861 3693722 5540583 7387444 11081166 14774888 16621749 22162332 33243498 44324664 66486996 132973992