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10628540 = 2251340879
BaseRepresentation
bin101000100010…
…110110111100
3201222222121122
4220202312330
510210103130
61015450112
7156224666
oct50426674
921888548
1010628540
115aaa41a
123686938
1322819a0
1415a9536
15dee2e5
hexa22dbc

10628540 has 24 divisors (see below), whose sum is σ = 24037440. Its totient is φ = 3924288.

The previous prime is 10628539. The next prime is 10628549. The reversal of 10628540 is 4582601.

10628540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106285402 = 225931725063200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628549) 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, 20180 + ... + 20699.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 210628540 is an apocalyptic number.

10628540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10628540 is an abundant number, since it is smaller than the sum of its proper divisors (13408900).

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

10628540 is a wasteful number, since it uses less digits than its factorization.

10628540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40901 (or 40899 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 10628540 is about 3260.1441685913. The cubic root of 10628540 is about 219.8658962334.

The spelling of 10628540 in words is "ten million, six hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 40879 81758 163516 204395 408790 531427 817580 1062854 2125708 2657135 5314270 10628540