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10395820 = 225717321
BaseRepresentation
bin100111101010…
…000010101100
3201120011101101
4213222002230
510130131240
61010452444
7154235341
oct47520254
921504341
1010395820
115960596
123594124
1321cca96
1415487c8
15da539a
hex9ea0ac

10395820 has 24 divisors (see below), whose sum is σ = 22141728. Its totient is φ = 4099200.

The previous prime is 10395817. The next prime is 10395821. The reversal of 10395820 is 2859301.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10395821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2241 + ... + 5080.

It is an arithmetic number, because the mean of its divisors is an integer number (922572).

Almost surely, 210395820 is an apocalyptic number.

10395820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10395820 is an abundant number, since it is smaller than the sum of its proper divisors (11745908).

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

10395820 is a wasteful number, since it uses less digits than its factorization.

10395820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 10395820 is about 3224.2549526984. The cubic root of 10395820 is about 218.2493289611.

It can be divided in two parts, 1039 and 5820, that added together give a cube (6859 = 193).

The spelling of 10395820 in words is "ten million, three hundred ninety-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 7321 14642 29284 36605 73210 146420 519791 1039582 2079164 2598955 5197910 10395820