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1113755968 = 26133892
BaseRepresentation
bin100001001100010…
…1001000101000000
32212121201122222001
41002120221011000
54240110142333
6302303353344
736412524643
oct10230510500
92777648861
101113755968
11521760386
12270bb2854
13149989000
14a7cbda5a
1567ba1b7d
hex42629140

1113755968 has 84 divisors (see below), whose sum is σ = 2421404860. Its totient is φ = 508265472.

The previous prime is 1113755897. The next prime is 1113755971. The reversal of 1113755968 is 8695573111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1039933504 + 73822464 = 32248^2 + 8592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12514068 + ... + 12514156.

Almost surely, 21113755968 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 1113755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210702430).

1113755968 is an abundant number, since it is smaller than the sum of its proper divisors (1307648892).

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

1113755968 is an frugal number, since it uses more digits than its factorization.

1113755968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 104 counting only the distinct ones).

The product of its digits is 226800, while the sum is 46.

The square root of 1113755968 is about 33372.9826056947. The cubic root of 1113755968 is about 1036.5653359644.

The spelling of 1113755968 in words is "one billion, one hundred thirteen million, seven hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 169 178 208 338 356 416 676 712 832 1157 1352 1424 2197 2314 2704 2848 4394 4628 5408 5696 7921 8788 9256 10816 15041 15842 17576 18512 30082 31684 35152 37024 60164 63368 70304 74048 102973 120328 126736 140608 195533 205946 240656 253472 391066 411892 481312 506944 782132 823784 962624 1338649 1564264 1647568 2677298 3128528 3295136 5354596 6257056 6590272 10709192 12514112 17402437 21418384 34804874 42836768 69609748 85673536 139219496 278438992 556877984 1113755968