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13316688 = 24327111201
BaseRepresentation
bin110010110011…
…001001010000
3221001120001200
4302303021100
511402113223
61153231200
7221122110
oct62631120
927046050
1013316688
117576030
124562500
1329b33c8
141aa9040
151280a43
hexcb3250

13316688 has 120 divisors (see below), whose sum is σ = 46502976. Its totient is φ = 3456000.

The previous prime is 13316687. The next prime is 13316717. The reversal of 13316688 is 88661331.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (13316683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10488 + ... + 11688.

Almost surely, 213316688 is an apocalyptic number.

13316688 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 13316688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23251488).

13316688 is an abundant number, since it is smaller than the sum of its proper divisors (33186288).

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

13316688 is a wasteful number, since it uses less digits than its factorization.

13316688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1224 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13316688 is about 3649.2037487649. The cubic root of 13316688 is about 237.0275030839.

The spelling of 13316688 in words is "thirteen million, three hundred sixteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1201 1232 1386 1584 1848 2402 2772 3603 3696 4804 5544 7206 8407 9608 10809 11088 13211 14412 16814 19216 21618 25221 26422 28824 33628 39633 43236 50442 52844 57648 67256 75663 79266 86472 92477 100884 105688 118899 134512 151326 158532 172944 184954 201768 211376 237798 277431 302652 317064 369908 403536 475596 554862 605304 634128 739816 832293 951192 1109724 1210608 1479632 1664586 1902384 2219448 3329172 4438896 6658344 13316688