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1113826968 = 2332191974133
BaseRepresentation
bin100001001100011…
…1010011010011000
32212121212021100200
41002120322122120
54240114430333
6302305102200
736413241642
oct10230723230
92777767320
101113826968
115217a9761
12271027960
131499b2417
14a7cdb892
1567bb7c13
hex4263a698

1113826968 has 96 divisors (see below), whose sum is σ = 3192274800. Its totient is φ = 349864704.

The previous prime is 1113826943. The next prime is 1113826969. The reversal of 1113826968 is 8696283111.

It is a super-2 number, since 2×11138269682 = 2481221029288146048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113826969) 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 23 ways as a sum of consecutive naturals, for example, 267430 + ... + 271562.

Almost surely, 21113826968 is an apocalyptic number.

1113826968 is a gapful number since it is divisible by the number (18) 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 1113826968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596137400).

1113826968 is an abundant number, since it is smaller than the sum of its proper divisors (2078447832).

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

1113826968 is a wasteful number, since it uses less digits than its factorization.

1113826968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4354 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1113826968 is about 33374.0463234532. The cubic root of 1113826968 is about 1036.5873619070.

The spelling of 1113826968 in words is "one billion, one hundred thirteen million, eight hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 197 228 342 394 456 591 684 788 1182 1368 1576 1773 2364 3546 3743 4133 4728 7092 7486 8266 11229 12399 14184 14972 16532 22458 24798 29944 33064 33687 37197 44916 49596 67374 74394 78527 89832 99192 134748 148788 157054 235581 269496 297576 314108 471162 628216 706743 814201 942324 1413486 1628402 1884648 2442603 2826972 3256804 4885206 5653944 6513608 7327809 9770412 14655618 15469819 19540824 29311236 30939638 46409457 58622472 61879276 92818914 123758552 139228371 185637828 278456742 371275656 556913484 1113826968