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7116564 = 223741319
BaseRepresentation
bin11011001001011100010100
3111101120002110
4123021130110
53310212224
6412311020
7114330000
oct33113424
914346073
107116564
114020864
122472470
1316222b0
14d33700
15958929
hex6c9714

7116564 has 120 divisors (see below), whose sum is σ = 21959840. Its totient is φ = 1778112.

The previous prime is 7116563. The next prime is 7116581. The reversal of 7116564 is 4656117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7116563) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 374547 + ... + 374565.

Almost surely, 27116564 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 7116564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979920).

7116564 is an abundant number, since it is smaller than the sum of its proper divisors (14843276).

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

7116564 is a wasteful number, since it uses less digits than its factorization.

7116564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 44 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 7116564 is about 2667.6888874080. The cubic root of 7116564 is about 192.3490828160.

The spelling of 7116564 in words is "seven million, one hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 343 364 399 494 532 546 588 637 686 741 798 931 988 1029 1092 1274 1372 1482 1596 1729 1862 1911 2058 2401 2548 2793 2964 3458 3724 3822 4116 4459 4802 5187 5586 6517 6916 7203 7644 8918 9604 10374 11172 12103 13034 13377 14406 17836 19551 20748 24206 26068 26754 28812 31213 36309 39102 45619 48412 53508 62426 72618 78204 84721 91238 93639 124852 136857 145236 169442 182476 187278 254163 273714 338884 374556 508326 547428 593047 1016652 1186094 1779141 2372188 3558282 7116564