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90560568 = 23372321019
BaseRepresentation
bin1010110010111…
…01100000111000
320022101221202010
411121131200320
5141140414233
612553005520
72146515660
oct531354070
9208357663
1090560568
114713454a
12263b38a0
13159ba147
14c0551a0
157e3cb63
hex565d838

90560568 has 96 divisors (see below), whose sum is σ = 270748800. Its totient is φ = 24725184.

The previous prime is 90560563. The next prime is 90560597. The reversal of 90560568 is 86506509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90560563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88363 + ... + 89381.

It is an arithmetic number, because the mean of its divisors is an integer number (2820300).

Almost surely, 290560568 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 90560568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135374400).

90560568 is an abundant number, since it is smaller than the sum of its proper divisors (180188232).

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

90560568 is a wasteful number, since it uses less digits than its factorization.

90560568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 90560568 is about 9516.3316461754. The cubic root of 90560568 is about 449.0689688913.

The spelling of 90560568 in words is "ninety million, five hundred sixty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 529 552 644 966 1019 1058 1288 1587 1932 2038 2116 3057 3174 3703 3864 4076 4232 6114 6348 7133 7406 8152 11109 12228 12696 14266 14812 21399 22218 23437 24456 28532 29624 42798 44436 46874 57064 70311 85596 88872 93748 140622 164059 171192 187496 281244 328118 492177 539051 562488 656236 984354 1078102 1312472 1617153 1968708 2156204 3234306 3773357 3937416 4312408 6468612 7546714 11320071 12937224 15093428 22640142 30186856 45280284 90560568