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9941920 = 25562137
BaseRepresentation
bin100101111011…
…001110100000
3200201002202021
4211323032200
510021120140
6553031224
7150335122
oct45731640
920632667
109941920
11568056a
1233b5514
1320a12c1
14146b212
15d15b4a
hex97b3a0

9941920 has 24 divisors (see below), whose sum is σ = 23488164. Its totient is φ = 3976704.

The previous prime is 9941903. The next prime is 9941927. The reversal of 9941920 is 291499.

9941920 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 9809424 + 132496 = 3132^2 + 364^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9941927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30909 + ... + 31228.

Almost surely, 29941920 is an apocalyptic number.

It is an amenable number.

9941920 is an abundant number, since it is smaller than the sum of its proper divisors (13546244).

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

9941920 is a wasteful number, since it uses less digits than its factorization.

9941920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62152 (or 62144 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 9941920 is about 3153.0810328947. The cubic root of 9941920 is about 215.0255603287.

The spelling of 9941920 in words is "nine million, nine hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 62137 124274 248548 310685 497096 621370 994192 1242740 1988384 2485480 4970960 9941920