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13101768 = 2332283643
BaseRepresentation
bin110001111110…
…101011001000
3220122122020200
4301332223020
511323224033
61144452200
7216235401
oct61765310
926578220
1013101768
117439609
12447a060
132939634
141a509a8
15123c013
hexc7eac8

13101768 has 48 divisors (see below), whose sum is σ = 35664720. Its totient is φ = 4345056.

The previous prime is 13101749. The next prime is 13101769. The reversal of 13101768 is 86710131.

It is not an unprimeable number, because it can be changed into a prime (13101769) 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 11 ways as a sum of consecutive naturals, for example, 20055 + ... + 20697.

It is an arithmetic number, because the mean of its divisors is an integer number (743015).

Almost surely, 213101768 is an apocalyptic number.

13101768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13101768 is an abundant number, since it is smaller than the sum of its proper divisors (22562952).

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

13101768 is a wasteful number, since it uses less digits than its factorization.

13101768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 13101768 is about 3619.6364458326. The cubic root of 13101768 is about 235.7454403528.

Adding to 13101768 its reverse (86710131), we get a palindrome (99811899).

The spelling of 13101768 in words is "thirteen million, one hundred one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 283 566 643 849 1132 1286 1698 1929 2264 2547 2572 3396 3858 5094 5144 5787 6792 7716 10188 11574 15432 20376 23148 46296 181969 363938 545907 727876 1091814 1455752 1637721 2183628 3275442 4367256 6550884 13101768