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132265692 = 223213409691
BaseRepresentation
bin1111110001000…
…11011011011100
3100012212210102100
413320203123130
5232330000232
621042525100
73164145156
oct770433334
9305783370
10132265692
116872a199
1238366790
132152cb30
14137cdad6
15b929c7c
hex7e236dc

132265692 has 72 divisors (see below), whose sum is σ = 361459280. Its totient is φ = 40538880.

The previous prime is 132265681. The next prime is 132265697. The reversal of 132265692 is 296562231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132265697) 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, 191067 + ... + 191757.

Almost surely, 2132265692 is an apocalyptic number.

132265692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132265692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180729640).

132265692 is an abundant number, since it is smaller than the sum of its proper divisors (229193588).

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

132265692 is a wasteful number, since it uses less digits than its factorization.

132265692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1118 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 132265692 is about 11500.6822406325. The cubic root of 132265692 is about 509.5057264283.

The spelling of 132265692 in words is "one hundred thirty-two million, two hundred sixty-five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 409 468 691 818 1227 1382 1636 2073 2454 2764 3681 4146 4908 5317 6219 7362 8292 8983 10634 12438 14724 15951 17966 21268 24876 26949 31902 35932 47853 53898 63804 80847 95706 107796 161694 191412 282619 323388 565238 847857 1130476 1695714 2543571 3391428 3674047 5087142 7348094 10174284 11022141 14696188 22044282 33066423 44088564 66132846 132265692