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132363714 = 23729109997
BaseRepresentation
bin1111110001110…
…11010111000010
3100020001202212210
413320323113002
5232341114324
621045002550
73165034020
oct770732702
9306052783
10132363714
11687968aa
12383b3456
1321565632
1413817710
15b948d29
hex7e3b5c2

132363714 has 64 divisors (see below), whose sum is σ = 316166400. Its totient is φ = 36142848.

The previous prime is 132363713. The next prime is 132363733. The reversal of 132363714 is 417363231.

It is not an unprimeable number, because it can be changed into a prime (132363713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132264 + ... + 133260.

It is an arithmetic number, because the mean of its divisors is an integer number (4940100).

Almost surely, 2132363714 is an apocalyptic number.

132363714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132363714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158083200).

132363714 is an abundant number, since it is smaller than the sum of its proper divisors (183802686).

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

132363714 is a wasteful number, since it uses less digits than its factorization.

132363714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147.

The product of its digits is 9072, while the sum is 30.

The square root of 132363714 is about 11504.9430246308. The cubic root of 132363714 is about 509.6315601123.

The spelling of 132363714 in words is "one hundred thirty-two million, three hundred sixty-three thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 109 174 203 218 327 406 609 654 763 997 1218 1526 1994 2289 2991 3161 4578 5982 6322 6979 9483 13958 18966 20937 22127 28913 41874 44254 57826 66381 86739 108673 132762 173478 202391 217346 326019 404782 607173 652038 760711 1214346 1521422 2282133 3151517 4564266 6303034 9454551 18909102 22060619 44121238 66181857 132363714