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989300520 = 2333513312273
BaseRepresentation
bin111010111101111…
…000011100101000
32112221112200012000
4322331320130220
54011230104040
6242100051000
733341626035
oct7275703450
92487480160
10989300520
1146848613a
12237393a60
13129c62130
149556438c
155bcbb130
hex3af78728

989300520 has 256 divisors, whose sum is σ = 3667507200. Its totient is φ = 235560960.

The previous prime is 989300497. The next prime is 989300539. The reversal of 989300520 is 25003989.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434104 + ... + 436376.

It is an arithmetic number, because the mean of its divisors is an integer number (14326200).

Almost surely, 2989300520 is an apocalyptic number.

989300520 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 989300520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833753600).

989300520 is an abundant number, since it is smaller than the sum of its proper divisors (2678206680).

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

989300520 is a wasteful number, since it uses less digits than its factorization.

989300520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2327 counting only the distinct ones).

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

The square root of 989300520 is about 31453.1480141496. The cubic root of 989300520 is about 996.4207106395.

The spelling of 989300520 in words is "nine hundred eighty-nine million, three hundred thousand, five hundred twenty".