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10256820 = 2235724421
BaseRepresentation
bin100111001000…
…000110110100
3201022002201020
4213020012310
510111204240
61003501140
7153116160
oct47100664
921262636
1010256820
115876112
1235277b0
132181732
14150dca0
15d790d0
hex9c81b4

10256820 has 48 divisors (see below), whose sum is σ = 32823168. Its totient is φ = 2344320.

The previous prime is 10256809. The next prime is 10256821. The reversal of 10256820 is 2865201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10256821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11791 + ... + 12630.

It is an arithmetic number, because the mean of its divisors is an integer number (683816).

Almost surely, 210256820 is an apocalyptic number.

10256820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10256820 is an abundant number, since it is smaller than the sum of its proper divisors (22566348).

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

10256820 is a wasteful number, since it uses less digits than its factorization.

10256820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24440 (or 24438 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10256820 is about 3202.6270466603. The cubic root of 10256820 is about 217.2722414343.

The spelling of 10256820 in words is "ten million, two hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 24421 48842 73263 97684 122105 146526 170947 244210 293052 341894 366315 488420 512841 683788 732630 854735 1025682 1465260 1709470 2051364 2564205 3418940 5128410 10256820