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13117368 = 2331124517
BaseRepresentation
bin110010000010…
…011110111000
3220200102122110
4302002132320
511324223433
61145052320
7216332025
oct62023670
926612573
1013117368
11744a300
1244870a0
132943774
141a5654c
151241963
hexc827b8

13117368 has 48 divisors (see below), whose sum is σ = 36053640. Its totient is φ = 3974080.

The previous prime is 13117343. The next prime is 13117369. The reversal of 13117368 is 86371131.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13117369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646 + ... + 5162.

Almost surely, 213117368 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 13117368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18026820).

13117368 is an abundant number, since it is smaller than the sum of its proper divisors (22936272).

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

13117368 is a wasteful number, since it uses less digits than its factorization.

13117368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4533 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 13117368 is about 3621.7907173110. The cubic root of 13117368 is about 235.8389689567.

Adding to 13117368 its reverse (86371131), we get a palindrome (99488499).

The spelling of 13117368 in words is "thirteen million, one hundred seventeen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 4517 9034 13551 18068 27102 36136 49687 54204 99374 108408 149061 198748 298122 397496 546557 596244 1093114 1192488 1639671 2186228 3279342 4372456 6558684 13117368