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132409328 = 24171925621
BaseRepresentation
bin1111110010001…
…10011111110000
3100020011002110012
413321012133300
5232344044303
621045554052
73165314012
oct771063760
9306132405
10132409328
11688180a7
1238415928
132158031c
141382a1b2
15b9575d8
hex7e467f0

132409328 has 40 divisors (see below), whose sum is σ = 285941520. Its totient is φ = 59028480.

The previous prime is 132409313. The next prime is 132409351. The reversal of 132409328 is 823904231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132409294 and 132409303.

It is a congruent number.

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, 7643 + ... + 17978.

It is an arithmetic number, because the mean of its divisors is an integer number (7148538).

Almost surely, 2132409328 is an apocalyptic number.

It is an amenable number.

132409328 is an abundant number, since it is smaller than the sum of its proper divisors (153532192).

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

132409328 is a wasteful number, since it uses less digits than its factorization.

132409328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25665 (or 25659 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 132409328 is about 11506.9252191887. The cubic root of 132409328 is about 509.6900949466.

The spelling of 132409328 in words is "one hundred thirty-two million, four hundred nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2584 5168 25621 51242 102484 204968 409936 435557 486799 871114 973598 1742228 1947196 3484456 3894392 6968912 7788784 8275583 16551166 33102332 66204664 132409328