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13060068 = 2237319167
BaseRepresentation
bin110001110100…
…011111100100
3220120112001020
4301310133210
511320410233
61143531140
7216003000
oct61643744
926515036
1013060068
11741024a
124459ab0
132923668
141a3d700
15122e9b3
hexc747e4

13060068 has 96 divisors (see below), whose sum is σ = 37632000. Its totient is φ = 3513888.

The previous prime is 13060057. The next prime is 13060079. The reversal of 13060068 is 86006031.

It is an interprime number because it is at equal distance from previous prime (13060057) and next prime (13060079).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78121 + ... + 78287.

It is an arithmetic number, because the mean of its divisors is an integer number (392000).

Almost surely, 213060068 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 13060068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816000).

13060068 is an abundant number, since it is smaller than the sum of its proper divisors (24571932).

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

13060068 is a wasteful number, since it uses less digits than its factorization.

13060068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13060068 is about 3613.8716081233. The cubic root of 13060068 is about 235.4950661828.

Adding to 13060068 its reverse (86006031), we get a palindrome (99066099).

The spelling of 13060068 in words is "thirteen million, sixty thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 167 196 228 266 294 334 343 399 501 532 588 668 686 798 931 1002 1029 1169 1372 1596 1862 2004 2058 2338 2793 3173 3507 3724 4116 4676 5586 6346 6517 7014 8183 9519 11172 12692 13034 14028 16366 19038 19551 22211 24549 26068 32732 38076 39102 44422 49098 57281 66633 78204 88844 98196 114562 133266 155477 171843 229124 266532 310954 343686 466431 621908 687372 932862 1088339 1865724 2176678 3265017 4353356 6530034 13060068