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985480020 = 22345743247
BaseRepresentation
bin111010101111010…
…011101101010100
32112200100120110000
4322233103231110
54004240330040
6241442131300
733264304410
oct7257235524
92480316400
10985480020
114663067a8
12236050b30
13129225195
1494c4bd40
155b7b4130
hex3abd3b54

985480020 has 360 divisors, whose sum is σ = 3694166784. Its totient is φ = 215332992.

The previous prime is 985479923. The next prime is 985480079. The reversal of 985480020 is 20084589.

985480020 is a `hidden beast` number, since 98 + 548 + 0 + 0 + 20 = 666.

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 119 ways as a sum of consecutive naturals, for example, 20967637 + ... + 20967683.

Almost surely, 2985480020 is an apocalyptic number.

985480020 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 985480020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847083392).

985480020 is an abundant number, since it is smaller than the sum of its proper divisors (2708686764).

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

985480020 is a wasteful number, since it uses less digits than its factorization.

985480020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 985480020 is about 31392.3560759622. The cubic root of 985480020 is about 995.1363903166.

The spelling of 985480020 in words is "nine hundred eighty-five million, four hundred eighty thousand, twenty".