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990925920 = 2533517103131
BaseRepresentation
bin111011000100000…
…101010001100000
32120001121020211000
4323010011101200
54012134112140
6242154552000
733361505565
oct7304052140
92501536730
10990925920
11469396346
12237a38600
1312a3b0bca
149586886c
155bedca30
hex3b105460

990925920 has 384 divisors, whose sum is σ = 3736212480. Its totient is φ = 244408320.

The previous prime is 990925811. The next prime is 990925931. The reversal of 990925920 is 29529099.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7564255 + ... + 7564385.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2990925920 is an apocalyptic number.

990925920 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 990925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868106240).

990925920 is an abundant number, since it is smaller than the sum of its proper divisors (2745286560).

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

990925920 is a wasteful number, since it uses less digits than its factorization.

990925920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

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

The square root of 990925920 is about 31478.9758410276. The cubic root of 990925920 is about 996.9661114957.

The spelling of 990925920 in words is "nine hundred ninety million, nine hundred twenty-five thousand, nine hundred twenty".