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90313668 = 22321131492
BaseRepresentation
bin1010110001000…
…01001111000100
320021221102001200
411120201033010
5141110014133
612543422500
72144440104
oct530411704
9207842050
1090313668
1146a85aa5
12262b4a30
1315931953
14bdcd204
157dde913
hex56213c4

90313668 has 54 divisors (see below), whose sum is σ = 231869274. Its totient is φ = 29637888.

The previous prime is 90313661. The next prime is 90313687. The reversal of 90313668 is 86631309.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11778624 + 78535044 = 3432^2 + 8862^2 .

It is a super-2 number, since 2×903136682 = 16313117255228448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90313661) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 606058 + ... + 606206.

Almost surely, 290313668 is an apocalyptic number.

It is an amenable number.

90313668 is an abundant number, since it is smaller than the sum of its proper divisors (141555606).

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

90313668 is a wasteful number, since it uses less digits than its factorization.

90313668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90313668 is about 9503.3503565848. The cubic root of 90313668 is about 448.6604907302.

The spelling of 90313668 in words is "ninety million, three hundred thirteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 113 149 226 298 339 447 452 596 678 894 1017 1341 1356 1788 2034 2682 4068 5364 16837 22201 33674 44402 50511 66603 67348 88804 101022 133206 151533 199809 202044 266412 303066 399618 606132 799236 2508713 5017426 7526139 10034852 15052278 22578417 30104556 45156834 90313668