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10213460 = 2254211213
BaseRepresentation
bin100110111101…
…100001010100
3201012220020022
4212331201110
510103312320
61002524312
7152545565
oct46754124
921186208
1010213460
115846584
123506698
132167a8a
1414dc16c
15d6b325
hex9bd854

10213460 has 24 divisors (see below), whose sum is σ = 21516936. Its totient is φ = 4072320.

The previous prime is 10213457. The next prime is 10213501. The reversal of 10213460 is 6431201.

10213460 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 4 ways, for example, as 1056784 + 9156676 = 1028^2 + 3026^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7814 + ... + 9026.

It is an arithmetic number, because the mean of its divisors is an integer number (896539).

Almost surely, 210213460 is an apocalyptic number.

10213460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213460 is an abundant number, since it is smaller than the sum of its proper divisors (11303476).

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

10213460 is a wasteful number, since it uses less digits than its factorization.

10213460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10213460 is about 3195.8504345479. The cubic root of 10213460 is about 216.9656411725.

Adding to 10213460 its reverse (6431201), we get a palindrome (16644661).

The spelling of 10213460 in words is "ten million, two hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 421 842 1213 1684 2105 2426 4210 4852 6065 8420 12130 24260 510673 1021346 2042692 2553365 5106730 10213460