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90804 = 22372347
BaseRepresentation
bin10110001010110100
311121120010
4112022310
510401204
61540220
7525510
oct261264
9147503
1090804
116224a
1244670
133243c
1425140
151bd89
hex162b4

90804 has 48 divisors (see below), whose sum is σ = 258048. Its totient is φ = 24288.

The previous prime is 90803. The next prime is 90821. The reversal of 90804 is 40809.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1909 + ... + 1955.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

290804 is an apocalyptic number.

90804 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

90804 is an abundant number, since it is smaller than the sum of its proper divisors (167244).

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

90804 is a wasteful number, since it uses less digits than its factorization.

90804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 90804 is about 301.3370206264. The cubic root of 90804 is about 44.9470983274.

The spelling of 90804 in words is "ninety thousand, eight hundred four".