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132696 = 23321997
BaseRepresentation
bin100000011001011000
320202000200
4200121120
513221241
62502200
71061604
oct403130
9222020
10132696
1190773
1264960
1348525
1436504
15294b6
hex20658

132696 has 48 divisors (see below), whose sum is σ = 382200. Its totient is φ = 41472.

The previous prime is 132689. The next prime is 132697. The reversal of 132696 is 696231.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1320 + ... + 1416.

2132696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191100).

132696 is an abundant number, since it is smaller than the sum of its proper divisors (249504).

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

132696 is a wasteful number, since it uses less digits than its factorization.

132696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 132696 is about 364.2746216799. The cubic root of 132696 is about 51.0057663607.

It can be divided in two parts, 132 and 696, that added together give a palindrome (828).

The spelling of 132696 in words is "one hundred thirty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 97 114 152 171 194 228 291 342 388 456 582 684 776 873 1164 1368 1746 1843 2328 3492 3686 5529 6984 7372 11058 14744 16587 22116 33174 44232 66348 132696