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13251315 = 3572112149
BaseRepresentation
bin110010100011…
…001011110011
3220221020101110
4302203023303
511343020230
61152004403
7220430400
oct62431363
926836343
1013251315
117530a00
124530703
13298c71c
141a8d2a7
15126b4b0
hexca32f3

13251315 has 72 divisors (see below), whose sum is σ = 27291600. Its totient is φ = 5470080.

The previous prime is 13251311. The next prime is 13251317. The reversal of 13251315 is 51315231.

13251315 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13251315 - 22 = 13251311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13251291 and 13251300.

It is not an unprimeable number, because it can be changed into a prime (13251311) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 88861 + ... + 89009.

It is an arithmetic number, because the mean of its divisors is an integer number (379050).

Almost surely, 213251315 is an apocalyptic number.

13251315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13251315 is an abundant number, since it is smaller than the sum of its proper divisors (14040285).

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

13251315 is a wasteful number, since it uses less digits than its factorization.

13251315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 13251315 is about 3640.2355693004. The cubic root of 13251315 is about 236.6390024752.

Adding to 13251315 its reverse (51315231), we get a palindrome (64566546).

The spelling of 13251315 in words is "thirteen million, two hundred fifty-one thousand, three hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 121 147 149 165 231 245 363 385 447 539 605 735 745 847 1043 1155 1617 1639 1815 2235 2541 2695 3129 4235 4917 5215 5929 7301 8085 8195 11473 12705 15645 17787 18029 21903 24585 29645 34419 36505 54087 57365 80311 88935 90145 109515 126203 172095 240933 270435 378609 401555 631015 883421 1204665 1893045 2650263 4417105 13251315