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9925040 = 245971279
BaseRepresentation
bin100101110111…
…000110110000
3200200020121002
4211313012300
510020100130
6552421132
7150234656
oct45670660
920606532
109925040
115669914
1233a77a8
132096708
141464dd6
15d10b45
hex9771b0

9925040 has 40 divisors (see below), whose sum is σ = 23331840. Its totient is φ = 3926016.

The previous prime is 9925031. The next prime is 9925043. The reversal of 9925040 is 405299.

9925040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 9924994 and 9925012.

It is not an unprimeable number, because it can be changed into a prime (9925043) 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, 7121 + ... + 8399.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 29925040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665920).

9925040 is an abundant number, since it is smaller than the sum of its proper divisors (13406800).

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

9925040 is a wasteful number, since it uses less digits than its factorization.

9925040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 9925040 is about 3150.4031488049. The cubic root of 9925040 is about 214.9037968732.

The spelling of 9925040 in words is "nine million, nine hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1279 1552 1940 2558 3880 5116 6395 7760 10232 12790 20464 25580 51160 102320 124063 248126 496252 620315 992504 1240630 1985008 2481260 4962520 9925040