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13361868 = 22331331307
BaseRepresentation
bin110010111110…
…001011001100
3221010212001000
4302332023030
511410034433
61154220300
7221400612
oct62761314
927125030
1013361868
1175a6a73
124584690
1329cab40
141abb6b2
15128e113
hexcbe2cc

13361868 has 96 divisors (see below), whose sum is σ = 38635520. Its totient is φ = 3965760.

The previous prime is 13361861. The next prime is 13361879. The reversal of 13361868 is 86816331.

13361868 is a `hidden beast` number, since 1 + 33 + 618 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13361861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43371 + ... + 43677.

Almost surely, 213361868 is an apocalyptic number.

13361868 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 13361868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19317760).

13361868 is an abundant number, since it is smaller than the sum of its proper divisors (25273652).

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

13361868 is a wasteful number, since it uses less digits than its factorization.

13361868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

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

The square root of 13361868 is about 3655.3888985989. The cubic root of 13361868 is about 237.2952577123.

It can be divided in two parts, 133 and 61868, that added together give a square (62001 = 2492).

The spelling of 13361868 in words is "thirteen million, three hundred sixty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 307 351 372 403 468 558 614 702 806 837 921 1116 1209 1228 1404 1612 1674 1842 2418 2763 3348 3627 3684 3991 4836 5526 7254 7982 8289 9517 10881 11052 11973 14508 15964 16578 19034 21762 23946 28551 33156 35919 38068 43524 47892 57102 71838 85653 107757 114204 123721 143676 171306 215514 247442 256959 342612 371163 431028 494884 513918 742326 1027836 1113489 1484652 2226978 3340467 4453956 6680934 13361868