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990526320 = 24355729251
BaseRepresentation
bin111011000010100…
…011101101110000
32120000211221200000
4323002203231300
54012033320240
6242142230000
733355222560
oct7302435560
92500757600
10990526320
114691430a3
12237885300
1312a2a1064
14957a2da0
155be5e430
hex3b0a3b70

990526320 has 480 divisors, whose sum is σ = 4094737920. Its totient is φ = 217728000.

The previous prime is 990526309. The next prime is 990526331. The reversal of 990526320 is 23625099.

990526320 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 (990526309) and next prime (990526331).

It is a super-2 number, since 2×9905263202 = 1962284781225484800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 3946195 + ... + 3946445.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704).

Almost surely, 2990526320 is an apocalyptic number.

990526320 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 990526320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

990526320 is an abundant number, since it is smaller than the sum of its proper divisors (3104211600).

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

990526320 is a wasteful number, since it uses less digits than its factorization.

990526320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 990526320 is about 31472.6281076112. The cubic root of 990526320 is about 996.8320815568.

The spelling of 990526320 in words is "nine hundred ninety million, five hundred twenty-six thousand, three hundred twenty".