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132727296 = 2931317223
BaseRepresentation
bin1111110100101…
…00001000000000
3100020202020121210
413322110020000
5232434233141
621100450120
73201110022
oct772241000
9306666553
10132727296
1168a14a89
1238549940
1321661c80
14138b0012
15b9bb916
hex7e94200

132727296 has 240 divisors, whose sum is σ = 422097984. Its totient is φ = 36765696.

The previous prime is 132727271. The next prime is 132727297. The reversal of 132727296 is 692727231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132727297) 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, 5770741 + ... + 5770763.

Almost surely, 2132727296 is an apocalyptic number.

132727296 is a gapful number since it is divisible by the number (16) 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 132727296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211048992).

132727296 is an abundant number, since it is smaller than the sum of its proper divisors (289370688).

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

132727296 is a wasteful number, since it uses less digits than its factorization.

132727296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 132727296 is about 11520.7333099938. The cubic root of 132727296 is about 510.0977590377.

The spelling of 132727296 in words is "one hundred thirty-two million, seven hundred twenty-seven thousand, two hundred ninety-six".