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90400068 = 223211220753
BaseRepresentation
bin1010110001101…
…10010101000100
320022002210120200
411120312111010
5141120300233
612545330500
72145250023
oct530662504
9208083520
1090400068
1147034a00
1226336a30
1315962085
14c0128ba
157e0a313
hex5636544

90400068 has 54 divisors (see below), whose sum is σ = 251185662. Its totient is φ = 27392640.

The previous prime is 90400021. The next prime is 90400069. The reversal of 90400068 is 86000409.

It can be written as a sum of positive squares in only one way, i.e., 70257924 + 20142144 = 8382^2 + 4488^2 .

It is not an unprimeable number, because it can be changed into a prime (90400069) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6021 + ... + 14732.

Almost surely, 290400068 is an apocalyptic number.

It is an amenable number.

90400068 is an abundant number, since it is smaller than the sum of its proper divisors (160785594).

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

90400068 is a wasteful number, since it uses less digits than its factorization.

90400068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20785 (or 20769 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90400068 is about 9507.8950351800. The cubic root of 90400068 is about 448.8035178502.

The spelling of 90400068 in words is "ninety million, four hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 20753 41506 62259 83012 124518 186777 228283 249036 373554 456566 684849 747108 913132 1369698 2054547 2511113 2739396 4109094 5022226 7533339 8218188 10044452 15066678 22600017 30133356 45200034 90400068