Search a number
-
+
1308756696 = 23313172271087
BaseRepresentation
bin100111000000010…
…0000101011011000
310101012122201200020
41032000200223120
510140020203241
6333511110440
744301151122
oct11600405330
93335581606
101308756696
11611839305
12306372420
1317b1b2960
14c5b60212
1579d6eb66
hex4e020ad8

1308756696 has 128 divisors (see below), whose sum is σ = 3750727680. Its totient is φ = 376989696.

The previous prime is 1308756677. The next prime is 1308756737. The reversal of 1308756696 is 6966578031.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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, 1203465 + ... + 1204551.

It is an arithmetic number, because the mean of its divisors is an integer number (29302560).

Almost surely, 21308756696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1308756696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875363840).

1308756696 is an abundant number, since it is smaller than the sum of its proper divisors (2441970984).

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

1308756696 is a wasteful number, since it uses less digits than its factorization.

1308756696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 1308756696 is about 36176.7424735838. The cubic root of 1308756696 is about 1093.8379131251.

The spelling of 1308756696 in words is "one billion, three hundred eight million, seven hundred fifty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 227 312 408 442 454 663 681 884 908 1087 1326 1362 1768 1816 2174 2652 2724 2951 3261 3859 4348 5304 5448 5902 6522 7718 8696 8853 11577 11804 13044 14131 15436 17706 18479 23154 23608 26088 28262 30872 35412 36958 42393 46308 50167 55437 56524 70824 73916 84786 92616 100334 110874 113048 147832 150501 169572 200668 221748 240227 246749 301002 339144 401336 443496 480454 493498 602004 720681 740247 960908 986996 1204008 1441362 1480494 1921816 1973992 2882724 2960988 3207737 4194733 5765448 5921976 6415474 8389466 9623211 12584199 12830948 16778932 19246422 25168398 25661896 33557864 38492844 50336796 54531529 76985688 100673592 109063058 163594587 218126116 327189174 436252232 654378348 1308756696