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1117116 = 22327111331
BaseRepresentation
bin100010000101110111100
32002202101200
410100232330
5241221431
635535500
712331620
oct4205674
92082350
101117116
116a3340
1245a590
13301620
14211180
15170ee6
hex110bbc

1117116 has 144 divisors (see below), whose sum is σ = 3913728. Its totient is φ = 259200.

The previous prime is 1117111. The next prime is 1117117. The reversal of 1117116 is 6117111.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117111) 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, 36021 + ... + 36051.

21117116 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 1117116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956864).

1117116 is an abundant number, since it is smaller than the sum of its proper divisors (2796612).

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

1117116 is a wasteful number, since it uses less digits than its factorization.

1117116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 67 counting only the distinct ones).

The product of its digits is 42, while the sum is 18.

The square root of 1117116 is about 1056.9370842202. The cubic root of 1117116 is about 103.7606676020.

It can be divided in two parts, 111 and 7116, that added together give a palindrome (7227).

The spelling of 1117116 in words is "one million, one hundred seventeen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 31 33 36 39 42 44 52 62 63 66 77 78 84 91 93 99 117 124 126 132 143 154 156 182 186 198 217 231 234 252 273 279 286 308 341 364 372 396 403 429 434 462 468 546 558 572 651 682 693 806 819 858 868 924 1001 1023 1092 1116 1209 1287 1302 1364 1386 1612 1638 1716 1953 2002 2046 2387 2418 2574 2604 2772 2821 3003 3069 3276 3627 3906 4004 4092 4433 4774 4836 5148 5642 6006 6138 7161 7254 7812 8463 8866 9009 9548 11284 12012 12276 13299 14322 14508 16926 17732 18018 21483 25389 26598 28644 31031 33852 36036 39897 42966 50778 53196 62062 79794 85932 93093 101556 124124 159588 186186 279279 372372 558558 1117116