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990090 = 233519193
BaseRepresentation
bin11110001101110001010
31212022011000
43301232022
5223140330
633115430
711262363
oct3615612
91768130
10990090
11616962
123b8b76
1328886a
141bab6a
15148560
hexf1b8a

990090 has 64 divisors (see below), whose sum is σ = 2793600. Its totient is φ = 248832.

The previous prime is 990053. The next prime is 990137. The reversal of 990090 is 90099.

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.

990090 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 31 ways as a sum of consecutive naturals, for example, 5034 + ... + 5226.

It is an arithmetic number, because the mean of its divisors is an integer number (43650).

2990090 is an apocalyptic number.

990090 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 990090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396800).

990090 is an abundant number, since it is smaller than the sum of its proper divisors (1803510).

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

990090 is a wasteful number, since it uses less digits than its factorization.

990090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

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

The square root of 990090 is about 995.0326627805. The cubic root of 990090 is about 99.6685694179.

The spelling of 990090 in words is "nine hundred ninety thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 193 270 285 342 386 513 570 579 855 965 1026 1158 1710 1737 1930 2565 2895 3474 3667 5130 5211 5790 7334 8685 10422 11001 17370 18335 22002 26055 33003 36670 52110 55005 66006 99009 110010 165015 198018 330030 495045 990090