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985374720 = 21337511
BaseRepresentation
bin111010101110111…
…010000000000000
32112200011020000000
4322232322000000
54004223442340
6241440000000
733263355411
oct7256720000
92480136000
10985374720
11466244680
12236000000
131291b9285
1494c21808
155b792d30
hex3abba000

985374720 has 448 divisors, whose sum is σ = 3869009280. Its totient is φ = 238878720.

The previous prime is 985374701. The next prime is 985374721. The reversal of 985374720 is 27473589.

985374720 is a `hidden beast` number, since 98 + 537 + 4 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985374721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89579515 + ... + 89579525.

Almost surely, 2985374720 is an apocalyptic number.

985374720 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 985374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934504640).

985374720 is an abundant number, since it is smaller than the sum of its proper divisors (2883634560).

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

985374720 is an frugal number, since it uses more digits than its factorization.

985374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 985374720 is about 31390.6788712828. The cubic root of 985374720 is about 995.1009451216.

The spelling of 985374720 in words is "nine hundred eighty-five million, three hundred seventy-four thousand, seven hundred twenty".