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985115040 = 2535713191187
BaseRepresentation
bin111010101101111…
…010100110100000
32112122200000210020
4322231322212200
54004142140130
6241430233440
733261224340
oct7255724640
92478600706
10985115040
11466087568
12235ab5880
13129128010
1494b94d20
155b740e10
hex3ab7a9a0

985115040 has 384 divisors, whose sum is σ = 4023613440. Its totient is φ = 196743168.

The previous prime is 985115029. The next prime is 985115041. The reversal of 985115040 is 40511589.

It is a junction number, because it is equal to n+sod(n) for n = 985114992 and 985115010.

It is not an unprimeable number, because it can be changed into a prime (985115041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829327 + ... + 830513.

It is an arithmetic number, because the mean of its divisors is an integer number (10478160).

Almost surely, 2985115040 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 985115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011806720).

985115040 is an abundant number, since it is smaller than the sum of its proper divisors (3038498400).

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

985115040 is a wasteful number, since it uses less digits than its factorization.

985115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 985115040 is about 31386.5423390344. The cubic root of 985115040 is about 995.0135230437.

The spelling of 985115040 in words is "nine hundred eighty-five million, one hundred fifteen thousand, forty".