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90796032 = 21233821
BaseRepresentation
bin1010110100101…
…11000000000000
320022211220202000
411122113000000
5141220433112
613002024000
72151516315
oct532270000
9208756660
1090796032
1147285448
12264a8000
1315a70382
14c0b6d0c
157e877dc
hex5697000

90796032 has 104 divisors (see below), whose sum is σ = 269320080. Its totient is φ = 30228480.

The previous prime is 90796021. The next prime is 90796037. The reversal of 90796032 is 23069709.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90796037) 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, 110182 + ... + 111002.

Almost surely, 290796032 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 90796032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134660040).

90796032 is an abundant number, since it is smaller than the sum of its proper divisors (178524048).

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

90796032 is an equidigital number, since it uses as much as digits as its factorization.

90796032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 90796032 is about 9528.6951887444. The cubic root of 90796032 is about 449.4578359471.

The spelling of 90796032 in words is "ninety million, seven hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 821 864 1024 1152 1536 1642 1728 2048 2304 2463 3072 3284 3456 4096 4608 4926 6144 6568 6912 7389 9216 9852 12288 13136 13824 14778 18432 19704 22167 26272 27648 29556 36864 39408 44334 52544 55296 59112 78816 88668 105088 110592 118224 157632 177336 210176 236448 315264 354672 420352 472896 630528 709344 840704 945792 1261056 1418688 1681408 1891584 2522112 2837376 3362816 3783168 5044224 5674752 7566336 10088448 11349504 15132672 22699008 30265344 45398016 90796032