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13003068 = 223131941107
BaseRepresentation
bin110001100110…
…100100111100
3220110121212010
4301212210330
511312044233
61142411220
7215344551
oct61464474
926417763
1013003068
117381441
124430b10
132903730
141a26a28
15121cb63
hexc6693c

13003068 has 96 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 3663360.

The previous prime is 13003061. The next prime is 13003091. The reversal of 13003068 is 86030031.

13003068 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121471 + ... + 121577.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 213003068 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 13003068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

13003068 is an abundant number, since it is smaller than the sum of its proper divisors (22559172).

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

13003068 is a wasteful number, since it uses less digits than its factorization.

13003068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13003068 is about 3605.9767054156. The cubic root of 13003068 is about 235.1519644834.

Adding to 13003068 its reverse (86030031), we get a palindrome (99033099).

The spelling of 13003068 in words is "thirteen million, three thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 41 52 57 76 78 82 107 114 123 156 164 214 228 246 247 321 428 492 494 533 642 741 779 988 1066 1284 1391 1482 1558 1599 2033 2132 2337 2782 2964 3116 3198 4066 4173 4387 4674 5564 6099 6396 8132 8346 8774 9348 10127 12198 13161 16692 17548 20254 24396 26322 26429 30381 40508 52644 52858 57031 60762 79287 83353 105716 114062 121524 158574 166706 171093 228124 250059 317148 333412 342186 500118 684372 1000236 1083589 2167178 3250767 4334356 6501534 13003068