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132714096 = 2433837219
BaseRepresentation
bin1111110100100…
…00111001110000
3100020201120111220
413322100321300
5232433322341
621100305040
73201023364
oct772207160
9306646456
10132714096
1168a06079
1238542180
1321658c68
14138a92a4
15b9b7a66
hex7e90e70

132714096 has 40 divisors (see below), whose sum is σ = 343787520. Its totient is φ = 44116416.

The previous prime is 132714091. The next prime is 132714097. The reversal of 132714096 is 690417231.

It is a super-2 number, since 2×1327140962 = 35226062554194432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132714091) 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, 14775 + ... + 21993.

It is an arithmetic number, because the mean of its divisors is an integer number (8594688).

Almost surely, 2132714096 is an apocalyptic number.

132714096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132714096 is an abundant number, since it is smaller than the sum of its proper divisors (211073424).

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

132714096 is a wasteful number, since it uses less digits than its factorization.

132714096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 132714096 is about 11520.1604155498. The cubic root of 132714096 is about 510.0808483900.

The spelling of 132714096 in words is "one hundred thirty-two million, seven hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 383 766 1149 1532 2298 3064 4596 6128 7219 9192 14438 18384 21657 28876 43314 57752 86628 115504 173256 346512 2764877 5529754 8294631 11059508 16589262 22119016 33178524 44238032 66357048 132714096