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90241668 = 223311372053
BaseRepresentation
bin1010110000011…
…11101010000100
320021210202022000
411120033222010
5141100213133
612542105300
72144020146
oct530175204
9207722260
1090241668
1146a369a0
122627b230
1315907c4a
14bdb0c96
157dc8413
hex560fa84

90241668 has 96 divisors (see below), whose sum is σ = 262254720. Its totient is φ = 26593920.

The previous prime is 90241643. The next prime is 90241691. The reversal of 90241668 is 86614209.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42930 + ... + 44982.

It is an arithmetic number, because the mean of its divisors is an integer number (2731820).

Almost surely, 290241668 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 90241668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131127360).

90241668 is an abundant number, since it is smaller than the sum of its proper divisors (172013052).

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

90241668 is a wasteful number, since it uses less digits than its factorization.

90241668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90241668 is about 9499.5614635624. The cubic root of 90241668 is about 448.5412317660.

It can be divided in two parts, 90241 and 668, that added together give a palindrome (90909).

The spelling of 90241668 in words is "ninety million, two hundred forty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1628 1998 2053 2442 3663 3996 4106 4884 6159 7326 8212 10989 12318 14652 18477 21978 22583 24636 36954 43956 45166 55431 67749 73908 75961 90332 110862 135498 151922 203247 221724 227883 270996 303844 406494 455766 609741 683649 812988 835571 911532 1219482 1367298 1671142 2050947 2438964 2506713 2734596 3342284 4101894 5013426 7520139 8203788 10026852 15040278 22560417 30080556 45120834 90241668