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132627292 = 22723415023
BaseRepresentation
bin1111110011110…
…11101101011100
3100020120011102221
413321323231130
5232423033132
621054355124
73200212330
oct771735534
9306504387
10132627292
1168956936
12384bbaa4
13216285b5
14138857c0
15b99be97
hex7e7bb5c

132627292 has 48 divisors (see below), whose sum is σ = 283594752. Its totient is φ = 53032320.

The previous prime is 132627281. The next prime is 132627293. The reversal of 132627292 is 292726231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132627293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23893 + ... + 28915.

It is an arithmetic number, because the mean of its divisors is an integer number (5908224).

Almost surely, 2132627292 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 132627292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141797376).

132627292 is an abundant number, since it is smaller than the sum of its proper divisors (150967460).

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

132627292 is a wasteful number, since it uses less digits than its factorization.

132627292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 5096 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 132627292 is about 11516.3923170410. The cubic root of 132627292 is about 509.9696150038.

The spelling of 132627292 in words is "one hundred thirty-two million, six hundred twenty-seven thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 23 28 41 46 82 92 161 164 287 322 574 644 943 1148 1886 3772 5023 6601 10046 13202 20092 26404 35161 70322 115529 140644 205943 231058 411886 462116 808703 823772 1441601 1617406 2883202 3234812 4736689 5766404 9473378 18946756 33156823 66313646 132627292