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13000610 = 257185723
BaseRepresentation
bin110001100101…
…111110100010
3220110111111002
4301211332202
511312004420
61142352002
7215334440
oct61457642
926414432
1013000610
11737a607
12442b602
13290258c
141a25b90
15121c075
hexc65fa2

13000610 has 16 divisors (see below), whose sum is σ = 26744256. Its totient is φ = 4457328.

The previous prime is 13000601. The next prime is 13000627. The reversal of 13000610 is 1600031.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13000591 and 13000600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92792 + ... + 92931.

It is an arithmetic number, because the mean of its divisors is an integer number (1671516).

Almost surely, 213000610 is an apocalyptic number.

13000610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13000610 is an abundant number, since it is smaller than the sum of its proper divisors (13743646).

13000610 is a wasteful number, since it uses less digits than its factorization.

13000610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185737.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13000610 is about 3605.6358662516. The cubic root of 13000610 is about 235.1371464432.

Adding to 13000610 its reverse (1600031), we get a palindrome (14600641).

The spelling of 13000610 in words is "thirteen million, six hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 70 185723 371446 928615 1300061 1857230 2600122 6500305 13000610