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990190656 = 26347132099
BaseRepresentation
bin111011000001010…
…001110001000000
32120000012220020000
4323001101301000
54011442100111
6242131120000
733352324140
oct7301216100
92500186200
10990190656
11468a33994
12237743000
1312a1b4340
1495716920
155bde4c56
hex3b051c40

990190656 has 280 divisors, whose sum is σ = 3614318400. Its totient is φ = 261024768.

The previous prime is 990190639. The next prime is 990190667. The reversal of 990190656 is 656091099.

It is an unprimeable 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 39 ways as a sum of consecutive naturals, for example, 470695 + ... + 472793.

It is an arithmetic number, because the mean of its divisors is an integer number (12908280).

Almost surely, 2990190656 is an apocalyptic number.

990190656 is a gapful number since it is divisible by the number (96) 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 990190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807159200).

990190656 is an abundant number, since it is smaller than the sum of its proper divisors (2624127744).

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

990190656 is a wasteful number, since it uses less digits than its factorization.

990190656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 990190656 is about 31467.2950219748. The cubic root of 990190656 is about 996.7194685483.

The spelling of 990190656 in words is "nine hundred ninety million, one hundred ninety thousand, six hundred fifty-six".