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90110304 = 25323110093
BaseRepresentation
bin1010101111011…
…11100101100000
320021120002002200
411113233211200
5141032012204
612535213200
72142632154
oct527574540
9207502080
1090110304
1146957229
1226217200
131589020b
14bd79064
157d9e539
hex55ef960

90110304 has 72 divisors (see below), whose sum is σ = 264543552. Its totient is φ = 29064960.

The previous prime is 90110299. The next prime is 90110309. The reversal of 90110304 is 40301109.

It is an interprime number because it is at equal distance from previous prime (90110299) and next prime (90110309).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90110309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3882 + ... + 13974.

It is an arithmetic number, because the mean of its divisors is an integer number (3674216).

Almost surely, 290110304 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 90110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132271776).

90110304 is an abundant number, since it is smaller than the sum of its proper divisors (174433248).

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

90110304 is a wasteful number, since it uses less digits than its factorization.

90110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90110304 is about 9492.6447315803. The cubic root of 90110304 is about 448.3234802341.

The spelling of 90110304 in words is "ninety million, one hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 10093 20186 30279 40372 60558 80744 90837 121116 161488 181674 242232 312883 322976 363348 484464 625766 726696 938649 968928 1251532 1453392 1877298 2503064 2815947 2906784 3754596 5006128 5631894 7509192 10012256 11263788 15018384 22527576 30036768 45055152 90110304