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990803520 = 26325731759
BaseRepresentation
bin111011000011100…
…111011001000000
32120001101000220200
4323003213121000
54012121203040
6242152205200
733360456000
oct7303473100
92501330820
10990803520
11469312393
12237999800
1312a36a295
1495836000
155beb6630
hex3b0e7640

990803520 has 672 divisors, whose sum is σ = 4279392000. Its totient is φ = 209534976.

The previous prime is 990803459. The next prime is 990803557. The reversal of 990803520 is 25308099.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16793251 + ... + 16793309.

Almost surely, 2990803520 is an apocalyptic number.

990803520 is a gapful number since it is divisible by the number (90) 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 990803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139696000).

990803520 is an abundant number, since it is smaller than the sum of its proper divisors (3288588480).

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

990803520 is a wasteful number, since it uses less digits than its factorization.

990803520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 990803520 is about 31477.0316262509. The cubic root of 990803520 is about 996.9250611089.

The spelling of 990803520 in words is "nine hundred ninety million, eight hundred three thousand, five hundred twenty".