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132708906 = 232113891723
BaseRepresentation
bin1111110100011…
…11101000101010
3100020201022101200
413322033220222
5232433141111
621100225030
73201002301
oct772175052
9306638350
10132708906
1168a02190
123853b176
13216567a5
14138a7438
15b9b6256
hex7e8fa2a

132708906 has 48 divisors (see below), whose sum is σ = 314664480. Its totient is φ = 40088160.

The previous prime is 132708857. The next prime is 132708907. The reversal of 132708906 is 609807231.

It is a super-2 number, since 2×1327089062 = 35223307463433672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132708907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76161 + ... + 77883.

It is an arithmetic number, because the mean of its divisors is an integer number (6555510).

Almost surely, 2132708906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132708906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157332240).

132708906 is an abundant number, since it is smaller than the sum of its proper divisors (181955574).

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

132708906 is a wasteful number, since it uses less digits than its factorization.

132708906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 132708906 is about 11519.9351560675. The cubic root of 132708906 is about 510.0741991236.

The spelling of 132708906 in words is "one hundred thirty-two million, seven hundred eight thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 389 778 1167 1723 2334 3446 3501 4279 5169 7002 8558 10338 12837 15507 18953 25674 31014 37906 38511 56859 77022 113718 170577 341154 670247 1340494 2010741 4021482 6032223 7372717 12064446 14745434 22118151 44236302 66354453 132708906