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132717208 = 23131637829
BaseRepresentation
bin1111110100100…
…01101010011000
3100020201201210011
413322101222120
5232433422313
621100331304
73201035431
oct772215230
9306651704
10132717208
1168a08448
1238543b34
132165a4c0
14138aa488
15b9b893d
hex7e91a98

132717208 has 32 divisors (see below), whose sum is σ = 269665200. Its totient is φ = 60870528.

The previous prime is 132717203. The next prime is 132717209. The reversal of 132717208 is 802717231.

It is a super-2 number, since 2×1327172082 = 35227714598630528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132717208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132717203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13038 + ... + 20866.

Almost surely, 2132717208 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 132717208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134832600).

132717208 is an abundant number, since it is smaller than the sum of its proper divisors (136947992).

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

132717208 is a wasteful number, since it uses less digits than its factorization.

132717208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011 (or 8007 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 132717208 is about 11520.2954823216. The cubic root of 132717208 is about 510.0848353043.

The spelling of 132717208 in words is "one hundred thirty-two million, seven hundred seventeen thousand, two hundred eight".

Divisors: 1 2 4 8 13 26 52 104 163 326 652 1304 2119 4238 7829 8476 15658 16952 31316 62632 101777 203554 407108 814216 1276127 2552254 5104508 10209016 16589651 33179302 66358604 132717208