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9942120 = 2332527617
BaseRepresentation
bin100101111011…
…010001101000
3200201010000200
4211323101220
510021121440
6553032200
7150335526
oct45732150
920633020
109942120
115680731
1233b5660
1320a1416
14146b316
15d15c30
hex97b468

9942120 has 48 divisors (see below), whose sum is σ = 32313060. Its totient is φ = 2651136.

The previous prime is 9942077. The next prime is 9942133. The reversal of 9942120 is 212499.

9942120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8054244 + 1887876 = 2838^2 + 1374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13449 + ... + 14168.

Almost surely, 29942120 is an apocalyptic number.

9942120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9942120 is an abundant number, since it is smaller than the sum of its proper divisors (22370940).

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

9942120 is a wasteful number, since it uses less digits than its factorization.

9942120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27634 (or 27627 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9942120 is about 3153.1127477463. The cubic root of 9942120 is about 215.0270021972.

The spelling of 9942120 in words is "nine million, nine hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 27617 55234 82851 110468 138085 165702 220936 248553 276170 331404 414255 497106 552340 662808 828510 994212 1104680 1242765 1657020 1988424 2485530 3314040 4971060 9942120