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13000875 = 35337937
BaseRepresentation
bin110001100110…
…000010101011
3220110111211220
4301212002223
511312012000
61142353123
7215335266
oct61460253
926414756
1013000875
11737a828
12442b7a3
132902734
141a25cdd
15121c1a0
hexc660ab

13000875 has 32 divisors (see below), whose sum is σ = 22241856. Its totient is φ = 6739200.

The previous prime is 13000861. The next prime is 13000877. The reversal of 13000875 is 57800031.

It is a de Polignac number, because none of the positive numbers 2k-13000875 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13000877) 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 31 ways as a sum of consecutive naturals, for example, 13407 + ... + 14343.

It is an arithmetic number, because the mean of its divisors is an integer number (695058).

Almost surely, 213000875 is an apocalyptic number.

13000875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13000875 is a deficient number, since it is larger than the sum of its proper divisors (9240981).

13000875 is an equidigital number, since it uses as much as digits as its factorization.

13000875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 13000875 is about 3605.6726140902. The cubic root of 13000875 is about 235.1387440841.

The spelling of 13000875 in words is "thirteen million, eight hundred seventy-five", and thus it is an aban number.

Divisors: 1 3 5 15 25 37 75 111 125 185 375 555 925 937 2775 2811 4625 4685 13875 14055 23425 34669 70275 104007 117125 173345 351375 520035 866725 2600175 4333625 13000875