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10395040 = 25564969
BaseRepresentation
bin100111101001…
…110110100000
3201120010022111
4213221312200
510130120130
61010445104
7154233145
oct47516640
921503274
1010395040
11595aa47
123593794
1321cc616
1415483cc
15da502a
hex9e9da0

10395040 has 24 divisors (see below), whose sum is σ = 24558660. Its totient is φ = 4157952.

The previous prime is 10395029. The next prime is 10395059. The reversal of 10395040 is 4059301.

10395040 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 9709456 + 685584 = 3116^2 + 828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32325 + ... + 32644.

Almost surely, 210395040 is an apocalyptic number.

10395040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10395040 is an abundant number, since it is smaller than the sum of its proper divisors (14163620).

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

10395040 is an equidigital number, since it uses as much as digits as its factorization.

10395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64984 (or 64976 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 10395040 is about 3224.1339922528. The cubic root of 10395040 is about 218.2438703974.

The spelling of 10395040 in words is "ten million, three hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 64969 129938 259876 324845 519752 649690 1039504 1299380 2079008 2598760 5197520 10395040