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132902896 = 247361397
BaseRepresentation
bin1111110101111…
…10111111110000
3100021002011111111
413322332333300
5233010343041
621104323104
73202441000
oct772767760
9307064444
10132902896
1169024a05
1238613494
13216c3b89
1413918000
15ba03981
hex7ebeff0

132902896 has 80 divisors (see below), whose sum is σ = 305982400. Its totient is φ = 55883520.

The previous prime is 132902893. The next prime is 132902897. The reversal of 132902896 is 698209231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132902893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334570 + ... + 334966.

It is an arithmetic number, because the mean of its divisors is an integer number (3824780).

Almost surely, 2132902896 is an apocalyptic number.

132902896 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 132902896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152991200).

132902896 is an abundant number, since it is smaller than the sum of its proper divisors (173079504).

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

132902896 is an equidigital number, since it uses as much as digits as its factorization.

132902896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 132902896 is about 11528.3518336317. The cubic root of 132902896 is about 510.3226153057.

The spelling of 132902896 in words is "one hundred thirty-two million, nine hundred two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 343 392 397 427 488 686 784 794 854 976 1372 1588 1708 2744 2779 2989 3176 3416 5488 5558 5978 6352 6832 11116 11956 19453 20923 22232 23912 24217 38906 41846 44464 47824 48434 77812 83692 96868 136171 155624 167384 169519 193736 272342 311248 334768 339038 387472 544684 678076 1089368 1186633 1356152 2178736 2373266 2712304 4746532 8306431 9493064 16612862 18986128 33225724 66451448 132902896