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13860168 = 23371723211
BaseRepresentation
bin110100110111…
…110101001000
3222002011120120
4310313311020
512022011133
61213023240
7225544440
oct64676510
928064516
1013860168
117907393
124784b20
132b438aa
141bab120
15133bab3
hexd37d48

13860168 has 128 divisors (see below), whose sum is σ = 43960320. Its totient is φ = 3548160.

The previous prime is 13860157. The next prime is 13860169. The reversal of 13860168 is 86106831.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13860169) 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, 65583 + ... + 65793.

It is an arithmetic number, because the mean of its divisors is an integer number (343440).

Almost surely, 213860168 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 13860168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21980160).

13860168 is an abundant number, since it is smaller than the sum of its proper divisors (30100152).

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

13860168 is a wasteful number, since it uses less digits than its factorization.

13860168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13860168 is about 3722.9246567719. The cubic root of 13860168 is about 240.2091232837.

Adding to 13860168 its reverse (86106831), we get a palindrome (99966999).

It can be divided in two parts, 13860 and 168, that added together give a triangular number (14028 = T167).

The spelling of 13860168 in words is "thirteen million, eight hundred sixty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 23 24 28 34 42 46 51 56 68 69 84 92 102 119 136 138 161 168 184 204 211 238 276 322 357 391 408 422 476 483 552 633 644 714 782 844 952 966 1173 1266 1288 1428 1477 1564 1688 1932 2346 2532 2737 2856 2954 3128 3587 3864 4431 4692 4853 5064 5474 5908 7174 8211 8862 9384 9706 10761 10948 11816 14348 14559 16422 17724 19412 21522 21896 25109 28696 29118 32844 33971 35448 38824 43044 50218 58236 65688 67942 75327 82501 86088 100436 101913 116472 135884 150654 165002 200872 203826 247503 271768 301308 330004 407652 495006 577507 602616 660008 815304 990012 1155014 1732521 1980024 2310028 3465042 4620056 6930084 13860168