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985635840 = 21035789103
BaseRepresentation
bin111010101111111…
…001110000000000
32112200122111012010
4322233321300000
54004310321330
6241445332520
733265523610
oct7257716000
92480574163
10985635840
11466402882
12236107140
1312927b097
1494c8ca40
155b7e53b0
hex3abf9c00

985635840 has 352 divisors, whose sum is σ = 3678704640. Its totient is φ = 220594176.

The previous prime is 985635839. The next prime is 985635869. The reversal of 985635840 is 48536589.

It is a happy number.

985635840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 985635840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9569229 + ... + 9569331.

Almost surely, 2985635840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839352320).

985635840 is an abundant number, since it is smaller than the sum of its proper divisors (2693068800).

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

985635840 is a wasteful number, since it uses less digits than its factorization.

985635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 985635840 is about 31394.8377922231. The cubic root of 985635840 is about 995.1888364942.

The spelling of 985635840 in words is "nine hundred eighty-five million, six hundred thirty-five thousand, eight hundred forty".