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13362104 = 237289383
BaseRepresentation
bin110010111110…
…001110111000
3221010212100202
4302332032320
511410041404
61154221332
7221401400
oct62761670
927125322
1013362104
1175a7168
124584848
1329cac92
141abb800
15128e21e
hexcbe3b8

13362104 has 48 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 5647488.

The previous prime is 13362091. The next prime is 13362133. The reversal of 13362104 is 40126331.

13362104 is nontrivially palindromic in base 13.

It is a super-4 number, since 4×133621044 (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34697 + ... + 35079.

It is an arithmetic number, because the mean of its divisors is an integer number (615600).

Almost surely, 213362104 is an apocalyptic number.

13362104 is a gapful number since it is divisible by the number (14) 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 13362104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

13362104 is an abundant number, since it is smaller than the sum of its proper divisors (16186696).

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

13362104 is a wasteful number, since it uses less digits than its factorization.

13362104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 13362104 is about 3655.4211795633. The cubic root of 13362104 is about 237.2966547563.

Adding to 13362104 its reverse (40126331), we get a palindrome (53488435).

The spelling of 13362104 in words is "thirteen million, three hundred sixty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 356 383 392 623 712 766 1246 1532 2492 2681 3064 4361 4984 5362 8722 10724 17444 18767 21448 34087 34888 37534 68174 75068 136348 150136 238609 272696 477218 954436 1670263 1908872 3340526 6681052 13362104