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990468 = 22351019
BaseRepresentation
bin11110001110100000100
31212022200000
43301310010
5223143333
633121300
711263443
oct3616404
91768600
10990468
11617176
123b9230
13288a9b
141bad5a
15148713
hexf1d04

990468 has 36 divisors (see below), whose sum is σ = 2598960. Its totient is φ = 329832.

The previous prime is 990463. The next prime is 990469. The reversal of 990468 is 864099.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 990468.

It is not an unprimeable number, because it can be changed into a prime (990463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463 + ... + 1481.

2990468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299480).

990468 is an abundant number, since it is smaller than the sum of its proper divisors (1608492).

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

990468 is a wasteful number, since it uses less digits than its factorization.

990468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 990468 is about 995.2225881681. Note that the first 3 decimals coincide. The cubic root of 990468 is about 99.6812517416.

The spelling of 990468 in words is "nine hundred ninety thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1019 2038 3057 4076 6114 9171 12228 18342 27513 36684 55026 82539 110052 165078 247617 330156 495234 990468