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990433080 = 233257313617
BaseRepresentation
bin111011000010001…
…100111100111000
32120000200012202200
4323002030330320
54012022324310
6242140230200
733354354000
oct7302147470
92500605680
10990433080
1146908a03a
1223783b360
1312a26a7a0
149577b000
155be419c0
hex3b08cf38

990433080 has 384 divisors, whose sum is σ = 4049136000. Its totient is φ = 208631808.

The previous prime is 990433051. The next prime is 990433109. The reversal of 990433080 is 80334099.

990433080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (990433051) and next prime (990433109).

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

It is a congruent number.

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, 1604932 + ... + 1605548.

It is an arithmetic number, because the mean of its divisors is an integer number (10544625).

Almost surely, 2990433080 is an apocalyptic number.

990433080 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 990433080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024568000).

990433080 is an abundant number, since it is smaller than the sum of its proper divisors (3058702920).

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

990433080 is a wasteful number, since it uses less digits than its factorization.

990433080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 990433080 is about 31471.1467855876. The cubic root of 990433080 is about 996.8008027179.

The spelling of 990433080 in words is "nine hundred ninety million, four hundred thirty-three thousand, eighty".