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90912 = 253947
BaseRepresentation
bin10110001100100000
311121201010
4112030200
510402122
61540520
7526023
oct261440
9147633
1090912
1162338
1244740
13324c3
14251ba
151be0c
hex16320

90912 has 24 divisors (see below), whose sum is σ = 238896. Its totient is φ = 30272.

The previous prime is 90911. The next prime is 90917. The reversal of 90912 is 21909.

90912 = T18 + T19 + ... + T81.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (90911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 378 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (9954).

290912 is an apocalyptic number.

It is an amenable number.

90912 is an abundant number, since it is smaller than the sum of its proper divisors (147984).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119448).

90912 is a wasteful number, since it uses less digits than its factorization.

90912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 90912 is about 301.5161687207. The cubic root of 90912 is about 44.9649109177.

The spelling of 90912 in words is "ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 947 1894 2841 3788 5682 7576 11364 15152 22728 30304 45456 90912