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12693744 = 243273257
BaseRepresentation
bin110000011011…
…000011110000
3212212220112200
4300123003300
511222144434
61132023200
7212616000
oct60330360
925786480
1012693744
11718aaa8
124301b00
1328259bb
141986000
1511ab199
hexc1b0f0

12693744 has 120 divisors (see below), whose sum is σ = 41589600. Its totient is φ = 3612672.

The previous prime is 12693743. The next prime is 12693749. The reversal of 12693744 is 44739621.

It is a super-2 number, since 2×126937442 = 322262273475072, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 12693699 and 12693708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12693743) 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, 49264 + ... + 49520.

It is an arithmetic number, because the mean of its divisors is an integer number (346580).

Almost surely, 212693744 is an apocalyptic number.

12693744 is a gapful number since it is divisible by the number (14) 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 12693744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20794800).

12693744 is an abundant number, since it is smaller than the sum of its proper divisors (28895856).

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

12693744 is a wasteful number, since it uses less digits than its factorization.

12693744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 269 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 12693744 is about 3562.8280901553. The cubic root of 12693744 is about 233.2723396131.

The spelling of 12693744 in words is "twelve million, six hundred ninety-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 257 294 336 343 392 441 504 514 588 686 771 784 882 1008 1028 1029 1176 1372 1542 1764 1799 2056 2058 2313 2352 2744 3084 3087 3528 3598 4112 4116 4626 5397 5488 6168 6174 7056 7196 8232 9252 10794 12336 12348 12593 14392 16191 16464 18504 21588 24696 25186 28784 32382 37008 37779 43176 49392 50372 64764 75558 86352 88151 100744 113337 129528 151116 176302 201488 226674 259056 264453 302232 352604 453348 528906 604464 705208 793359 906696 1057812 1410416 1586718 1813392 2115624 3173436 4231248 6346872 12693744