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90305681 = 296171719
BaseRepresentation
bin1010110000111…
…11010010010001
320021221000002212
411120133102101
5141104240211
612543321505
72144404604
oct530372221
9207830085
1090305681
1146a7aaa4
12262b0295
131592b11b
14bdca33b
157ddc38b
hex561f491

90305681 has 16 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 84436800.

The previous prime is 90305671. The next prime is 90305687. The reversal of 90305681 is 18650309.

It is a cyclic number.

It is not a de Polignac number, because 90305681 - 26 = 90305617 is a prime.

It is a super-2 number, since 2×903056812 = 16310232041747522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90305687) 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 15 ways as a sum of consecutive naturals, for example, 125240 + ... + 125958.

It is an arithmetic number, because the mean of its divisors is an integer number (6026400).

Almost surely, 290305681 is an apocalyptic number.

It is an amenable number.

90305681 is a deficient number, since it is larger than the sum of its proper divisors (6116719).

90305681 is a wasteful number, since it uses less digits than its factorization.

90305681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 90305681 is about 9502.9301270713. The cubic root of 90305681 is about 448.6472643934.

The spelling of 90305681 in words is "ninety million, three hundred five thousand, six hundred eighty-one".

Divisors: 1 29 61 71 719 1769 2059 4331 20851 43859 51049 125599 1271911 1480421 3113989 90305681