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90968904 = 233213175717
BaseRepresentation
bin1010110110000…
…01001101001000
320100011200212200
411123001031020
5141242001104
613005440200
72153136315
oct533011510
9210150780
1090968904
1147393314
1226570060
1315b00c70
14c11dd0c
157ebdb39
hex56c1348

90968904 has 96 divisors (see below), whose sum is σ = 280982520. Its totient is φ = 26339328.

The previous prime is 90968881. The next prime is 90968929. The reversal of 90968904 is 40986909.

It can be written as a sum of positive squares in 4 ways, for example, as 77264100 + 13704804 = 8790^2 + 3702^2 .

It is a super-2 number, since 2×909689042 = 16550682989922432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90968904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13054 + ... + 18770.

Almost surely, 290968904 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 90968904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140491260).

90968904 is an abundant number, since it is smaller than the sum of its proper divisors (190013616).

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

90968904 is a wasteful number, since it uses less digits than its factorization.

90968904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 90968904 is about 9537.7620016438. The cubic root of 90968904 is about 449.7429049957.

The spelling of 90968904 in words is "ninety million, nine hundred sixty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 5717 7956 11434 15912 17151 22868 34302 45736 51453 68604 74321 97189 102906 137208 148642 194378 205812 222963 291567 297284 388756 411624 445926 583134 594568 668889 777512 874701 891852 1166268 1263457 1337778 1749402 1783704 2332536 2526914 2675556 3498804 3790371 5053828 5351112 6997608 7580742 10107656 11371113 15161484 22742226 30322968 45484452 90968904