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9820530720 = 2534571113757
BaseRepresentation
bin10010010010101100…
…10110100000100000
3221100102001122120000
421021112112200200
5130103023440340
64302252020000
7465235063620
oct111126264040
927312048500
109820530720
11418a4850a0
121aa0a61600
13c06771030
146923a6880
153c725bd30
hex249596820

9820530720 has 960 divisors, whose sum is σ = 46595678976. Its totient is φ = 1881169920.

The previous prime is 9820530697. The next prime is 9820530737. The reversal of 9820530720 is 270350289.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12972582 + ... + 12973338.

Almost surely, 29820530720 is an apocalyptic number.

9820530720 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 9820530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23297839488).

9820530720 is an abundant number, since it is smaller than the sum of its proper divisors (36775148256).

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

9820530720 is a wasteful number, since it uses less digits than its factorization.

9820530720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9820530720 is about 99098.5909082465. The cubic root of 9820530720 is about 2141.4683142383.

The spelling of 9820530720 in words is "nine billion, eight hundred twenty million, five hundred thirty thousand, seven hundred twenty".