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13018968 = 233537181
BaseRepresentation
bin110001101010…
…011101011000
3220111102200000
4301222131120
511313101333
61143013000
7215442114
oct61523530
926442600
1013018968
117392386
12443a160
13290aa41
141a2c744
151222713
hexc6a758

13018968 has 96 divisors (see below), whose sum is σ = 37761360. Its totient is φ = 4199040.

The previous prime is 13018927. The next prime is 13018969. The reversal of 13018968 is 86981031.

13018968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13018969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71838 + ... + 72018.

Almost surely, 213018968 is an apocalyptic number.

13018968 is a gapful number since it is divisible by the number (18) 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 13018968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18880680).

13018968 is an abundant number, since it is smaller than the sum of its proper divisors (24742392).

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

13018968 is a wasteful number, since it uses less digits than its factorization.

13018968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13018968 is about 3608.1807050091. The cubic root of 13018968 is about 235.2477724702.

Adding to 13018968 its reverse (86981031), we get a palindrome (99999999).

The spelling of 13018968 in words is "thirteen million, eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 181 216 222 243 296 324 333 362 444 486 543 648 666 724 888 972 999 1086 1332 1448 1629 1944 1998 2172 2664 2997 3258 3996 4344 4887 5994 6516 6697 7992 8991 9774 11988 13032 13394 14661 17982 19548 20091 23976 26788 29322 35964 39096 40182 43983 53576 58644 60273 71928 80364 87966 117288 120546 160728 175932 180819 241092 351864 361638 482184 542457 723276 1084914 1446552 1627371 2169828 3254742 4339656 6509484 13018968