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99090 = 2335367
BaseRepresentation
bin11000001100010010
312000221000
4120030102
511132330
62042430
7561615
oct301422
9160830
1099090
11684a2
1249416
1336144
142817c
151e560
hex18312

99090 has 32 divisors (see below), whose sum is σ = 264960. Its totient is φ = 26352.

The previous prime is 99089. The next prime is 99103. The reversal of 99090 is 9099.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

299090 is an apocalyptic number.

99090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132480).

99090 is an abundant number, since it is smaller than the sum of its proper divisors (165870).

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

99090 is a wasteful number, since it uses less digits than its factorization.

99090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 99090 is about 314.7856413498. The cubic root of 99090 is about 46.2746642248.

It can be divided in two parts, 9 and 9090, that multiplied together give a triangular number (81810 = T404).

The spelling of 99090 in words is "ninety-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 367 734 1101 1835 2202 3303 3670 5505 6606 9909 11010 16515 19818 33030 49545 99090