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990457920 = 263253311039
BaseRepresentation
bin111011000010010…
…011000001000000
32120000201110211200
4323002103001000
54012024123140
6242140541200
733354516264
oct7302230100
92500643750
10990457920
114690a6771
12237851800
1312a278b9a
14957860a4
155be49030
hex3b093040

990457920 has 168 divisors, whose sum is σ = 3420343680. Its totient is φ = 263070720.

The previous prime is 990457907. The next prime is 990457933. The reversal of 990457920 is 29754099.

It is an interprime number because it is at equal distance from previous prime (990457907) and next prime (990457933).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952761 + ... + 953799.

Almost surely, 2990457920 is an apocalyptic number.

990457920 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 990457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710171840).

990457920 is an abundant number, since it is smaller than the sum of its proper divisors (2429885760).

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

990457920 is a wasteful number, since it uses less digits than its factorization.

990457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 990457920 is about 31471.5414303145. The cubic root of 990457920 is about 996.8091358822.

The spelling of 990457920 in words is "nine hundred ninety million, four hundred fifty-seven thousand, nine hundred twenty".