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13362160 = 2457107223
BaseRepresentation
bin110010111110…
…001111110000
3221010212102211
4302332033300
511410042120
61154221504
7221401510
oct62761760
927125384
1013362160
1175a7209
124584894
1329cb006
141abb840
15128e25a
hexcbe3f0

13362160 has 80 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 4518144.

The previous prime is 13362157. The next prime is 13362161. The reversal of 13362160 is 6126331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×133621603 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59809 + ... + 60031.

Almost surely, 213362160 is an apocalyptic number.

13362160 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 13362160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

13362160 is an abundant number, since it is smaller than the sum of its proper divisors (22635536).

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

13362160 is a wasteful number, since it uses less digits than its factorization.

13362160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 13362160 is about 3655.4288394113. The cubic root of 13362160 is about 237.2969862558.

Adding to 13362160 its reverse (6126331), we get a palindrome (19488491).

The spelling of 13362160 in words is "thirteen million, three hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 223 280 428 446 535 560 749 856 892 1070 1115 1498 1561 1712 1784 2140 2230 2996 3122 3568 3745 4280 4460 5992 6244 7490 7805 8560 8920 11984 12488 14980 15610 17840 23861 24976 29960 31220 47722 59920 62440 95444 119305 124880 167027 190888 238610 334054 381776 477220 668108 835135 954440 1336216 1670270 1908880 2672432 3340540 6681080 13362160