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9924345120 = 253520675719
BaseRepresentation
bin10010011111000100…
…10111110100100000
3221121122101222010210
421033202113310200
5130311113020440
64320441054120
7500635353534
oct111742276440
927548358123
109924345120
114233041418
121b0b787340
13c2211ba81
146a20abbc4
153d1416a80
hex24f897d20

9924345120 has 48 divisors (see below), whose sum is σ = 31261688640. Its totient is φ = 2646491904.

The previous prime is 9924345103. The next prime is 9924345127. The reversal of 9924345120 is 215434299.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (9924345127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10337380 + ... + 10338339.

It is an arithmetic number, because the mean of its divisors is an integer number (651285180).

Almost surely, 29924345120 is an apocalyptic number.

It is an amenable number.

9924345120 is an abundant number, since it is smaller than the sum of its proper divisors (21337343520).

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

9924345120 is a wasteful number, since it uses less digits than its factorization.

9924345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20675737 (or 20675729 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 9924345120 is about 99621.0074231334. The cubic root of 9924345120 is about 2148.9878141613.

The spelling of 9924345120 in words is "nine billion, nine hundred twenty-four million, three hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20675719 41351438 62027157 82702876 103378595 124054314 165405752 206757190 248108628 310135785 330811504 413514380 496217256 620271570 661623008 827028760 992434512 1240543140 1654057520 1984869024 2481086280 3308115040 4962172560 9924345120