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90076 = 2273217
BaseRepresentation
bin10101111111011100
311120120011
4111333130
510340301
61533004
7523420
oct257734
9146504
1090076
1161748
1244164
1331ccc
1424b80
151ba51
hex15fdc

90076 has 12 divisors (see below), whose sum is σ = 180208. Its totient is φ = 38592.

The previous prime is 90073. The next prime is 90089. The reversal of 90076 is 67009.

90076 is an admirable number.

It is a super-2 number, since 2×900762 = 16227371552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90071) 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, 1581 + ... + 1636.

290076 is an apocalyptic number.

It is an amenable number.

90076 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (90104).

90076 is a wasteful number, since it uses less digits than its factorization.

90076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 90076 is about 300.1266399372. The cubic root of 90076 is about 44.8266582410.

Subtracting from 90076 its product of nonzero digits (378), we obtain a palindrome (89698).

The spelling of 90076 in words is "ninety thousand, seventy-six".

Divisors: 1 2 4 7 14 28 3217 6434 12868 22519 45038 90076