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989694720 = 2833574091
BaseRepresentation
bin111010111111011…
…000101100000000
32112222021200221000
4322333120230000
54011330212340
6242112332000
733345160230
oct7277305400
92488250830
10989694720
11468725323
12237544000
1312a06c6a1
1495627cc0
155bd47d30
hex3afd8b00

989694720 has 288 divisors, whose sum is σ = 4014743040. Its totient is φ = 226160640.

The previous prime is 989694709. The next prime is 989694731. The reversal of 989694720 is 27496989.

989694720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (989694709) and next prime (989694731).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 239875 + ... + 243965.

It is an arithmetic number, because the mean of its divisors is an integer number (13940080).

Almost surely, 2989694720 is an apocalyptic number.

989694720 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 989694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007371520).

989694720 is an abundant number, since it is smaller than the sum of its proper divisors (3025048320).

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

989694720 is a wasteful number, since it uses less digits than its factorization.

989694720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 989694720 is about 31459.4138534080. The cubic root of 989694720 is about 996.5530387767.

The spelling of 989694720 in words is "nine hundred eighty-nine million, six hundred ninety-four thousand, seven hundred twenty".