Search a number
-
+
13168140 = 22351911551
BaseRepresentation
bin110010001110…
…111000001100
3220210000021220
4302032320030
511332340030
61150123340
7216633036
oct62167014
926700256
1013168140
117484467
1244b0550
1329608cb
141a6ac56
151251a10
hexc8ee0c

13168140 has 48 divisors (see below), whose sum is σ = 38814720. Its totient is φ = 3326400.

The previous prime is 13168139. The next prime is 13168193. The reversal of 13168140 is 4186131.

It is a super-2 number, since 2×131681402 = 346799822119200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13168140.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4636 + ... + 6915.

It is an arithmetic number, because the mean of its divisors is an integer number (808640).

Almost surely, 213168140 is an apocalyptic number.

13168140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13168140 is an abundant number, since it is smaller than the sum of its proper divisors (25646580).

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

13168140 is a wasteful number, since it uses less digits than its factorization.

13168140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11582 (or 11580 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13168140 is about 3628.7931878243. The cubic root of 13168140 is about 236.1428561495.

Subtracting from 13168140 its reverse (4186131), we obtain a square (8982009 = 29972).

The spelling of 13168140 in words is "thirteen million, one hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 11551 23102 34653 46204 57755 69306 115510 138612 173265 219469 231020 346530 438938 658407 693060 877876 1097345 1316814 2194690 2633628 3292035 4389380 6584070 13168140