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13080312 = 2333741211
BaseRepresentation
bin110001111001…
…011011111000
3220121112211000
4301321123320
511322032222
61144205000
7216116010
oct61713370
926545730
1013080312
117424483
124469760
13292c93b
141a46c40
1512359ac
hexc796f8

13080312 has 128 divisors (see below), whose sum is σ = 42739200. Its totient is φ = 3628800.

The previous prime is 13080289. The next prime is 13080323. The reversal of 13080312 is 21308031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61887 + ... + 62097.

It is an arithmetic number, because the mean of its divisors is an integer number (333900).

Almost surely, 213080312 is an apocalyptic number.

13080312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13080312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21369600).

13080312 is an abundant number, since it is smaller than the sum of its proper divisors (29658888).

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

13080312 is a wasteful number, since it uses less digits than its factorization.

13080312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13080312 is about 3616.6713978464. The cubic root of 13080312 is about 235.6166811952.

Adding to 13080312 its reverse (21308031), we get a palindrome (34388343).

The spelling of 13080312 in words is "thirteen million, eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 211 216 246 252 287 328 369 378 422 492 504 574 633 738 756 844 861 984 1107 1148 1266 1476 1477 1512 1688 1722 1899 2214 2296 2532 2583 2952 2954 3444 3798 4428 4431 5064 5166 5697 5908 6888 7596 7749 8651 8856 8862 10332 11394 11816 13293 15192 15498 17302 17724 20664 22788 25953 26586 30996 34604 35448 39879 45576 51906 53172 60557 61992 69208 77859 79758 103812 106344 121114 155718 159516 181671 207624 233577 242228 311436 319032 363342 467154 484456 545013 622872 726684 934308 1090026 1453368 1635039 1868616 2180052 3270078 4360104 6540156 13080312