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90066 = 2317883
BaseRepresentation
bin10101111111010010
311120112210
4111333102
510340231
61532550
7523404
oct257722
9146483
1090066
1161739
1244156
1331cc2
1424b74
151ba46
hex15fd2

90066 has 16 divisors (see below), whose sum is σ = 190944. Its totient is φ = 28224.

The previous prime is 90059. The next prime is 90067. The reversal of 90066 is 66009.

It is a super-2 number, since 2×900662 = 16223768712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90067) by changing a digit.

90066 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (11934).

290066 is an apocalyptic number.

90066 is an abundant number, since it is smaller than the sum of its proper divisors (100878).

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 (95472).

90066 is a wasteful number, since it uses less digits than its factorization.

90066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 90066 is about 300.1099798407. The cubic root of 90066 is about 44.8249993338.

The spelling of 90066 in words is "ninety thousand, sixty-six".

Divisors: 1 2 3 6 17 34 51 102 883 1766 2649 5298 15011 30022 45033 90066