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13660240 = 2451119243
BaseRepresentation
bin110100000111…
…000001010000
3221201000022211
4310013001100
511444111430
61204441504
7224052526
oct64070120
927630284
1013660240
117790160
1246a9294
132aa38a9
141b58316
1512ec72a
hexd07050

13660240 has 120 divisors (see below), whose sum is σ = 37417248. Its totient is φ = 4596480.

The previous prime is 13660201. The next prime is 13660249. The reversal of 13660240 is 4206631.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13660249) 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, 317659 + ... + 317701.

Almost surely, 213660240 is an apocalyptic number.

13660240 is a gapful number since it is divisible by the number (10) 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 13660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708624).

13660240 is an abundant number, since it is smaller than the sum of its proper divisors (23757008).

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

13660240 is a wasteful number, since it uses less digits than its factorization.

13660240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13660240 is about 3695.9761903995. The cubic root of 13660240 is about 239.0485478778.

Adding to 13660240 its reverse (4206631), we get a palindrome (17866871).

The spelling of 13660240 in words is "thirteen million, six hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 43 44 55 76 80 86 88 95 110 152 172 176 190 209 215 220 304 344 361 380 418 430 440 473 688 722 760 817 836 860 880 946 1045 1444 1520 1634 1672 1720 1805 1892 2090 2365 2888 3268 3344 3440 3610 3784 3971 4085 4180 4730 5776 6536 7220 7568 7942 8170 8360 8987 9460 13072 14440 15523 15884 16340 16720 17974 18920 19855 28880 31046 31768 32680 35948 37840 39710 44935 62092 63536 65360 71896 77615 79420 89870 124184 143792 155230 158840 170753 179740 248368 310460 317680 341506 359480 620920 683012 718960 853765 1241840 1366024 1707530 2732048 3415060 6830120 13660240