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13112008 = 2372133183
BaseRepresentation
bin110010000001…
…001011001000
3220200011021221
4302001023020
511324041013
61145011424
7216310300
oct62011310
926604257
1013112008
117446278
124483b74
1329411b0
141a54600
15124008d
hexc812c8

13112008 has 96 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4959360.

The previous prime is 13111961. The next prime is 13112051. The reversal of 13112008 is 80021131.

It is a junction number, because it is equal to n+sod(n) for n = 13111982 and 13112000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157935 + ... + 158017.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 213112008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

13112008 is an abundant number, since it is smaller than the sum of its proper divisors (19063352).

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

13112008 is a wasteful number, since it uses less digits than its factorization.

13112008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 13112008 is about 3621.0506762541. The cubic root of 13112008 is about 235.8068418539.

Adding to 13112008 its reverse (80021131), we get a palindrome (93133139).

The spelling of 13112008 in words is "thirteen million, one hundred twelve thousand, eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 83 91 98 104 124 166 182 196 217 248 332 364 392 403 434 581 637 664 728 806 868 1079 1162 1274 1519 1612 1736 2158 2324 2548 2573 2821 3038 3224 4067 4316 4648 5096 5146 5642 6076 7553 8134 8632 10292 11284 12152 15106 16268 18011 19747 20584 22568 30212 32536 33449 36022 39494 52871 60424 66898 72044 78988 105742 126077 133796 144088 157976 211484 234143 252154 267592 422968 468286 504308 936572 1008616 1639001 1873144 3278002 6556004 13112008