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13075986 = 2371123183
BaseRepresentation
bin110001111000…
…011000010010
3220121022212210
4301320120102
511321412421
61144132550
7216100260
oct61703022
926538783
1013075986
117421200
124467156
13292a991
141a45430
151234576
hexc78612

13075986 has 96 divisors (see below), whose sum is σ = 34320384. Its totient is φ = 3247200.

The previous prime is 13075981. The next prime is 13075991. The reversal of 13075986 is 68957031.

It is an interprime number because it is at equal distance from previous prime (13075981) and next prime (13075991).

It is not an unprimeable number, because it can be changed into a prime (13075981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157501 + ... + 157583.

It is an arithmetic number, because the mean of its divisors is an integer number (357504).

Almost surely, 213075986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13075986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160192).

13075986 is an abundant number, since it is smaller than the sum of its proper divisors (21244398).

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

13075986 is a wasteful number, since it uses less digits than its factorization.

13075986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 13075986 is about 3616.0732846556. The cubic root of 13075986 is about 235.5907034726.

The spelling of 13075986 in words is "thirteen million, seventy-five thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 83 93 121 154 166 186 217 231 242 249 341 363 434 462 498 581 651 682 726 847 913 1023 1162 1302 1694 1743 1826 2046 2387 2541 2573 2739 3486 3751 4774 5082 5146 5478 6391 7161 7502 7719 10043 11253 12782 14322 15438 18011 19173 20086 22506 26257 28303 30129 36022 38346 52514 54033 56606 60258 70301 78771 84909 108066 140602 157542 169818 198121 210903 311333 396242 421806 594363 622666 933999 1188726 1867998 2179331 4358662 6537993 13075986