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12893286 = 23719107151
BaseRepresentation
bin110001001011…
…110001100110
3220021001021010
4301023301212
511300041121
61140203050
7214406520
oct61136146
926231233
1012893286
117306a0a
124399486
132895783
1419d8a10
1511ea376
hexc4bc66

12893286 has 64 divisors (see below), whose sum is σ = 31518720. Its totient is φ = 3434400.

The previous prime is 12893281. The next prime is 12893291. The reversal of 12893286 is 68239821.

It is a happy number.

12893286 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 an interprime number because it is at equal distance from previous prime (12893281) and next prime (12893291).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12893281) 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, 85311 + ... + 85461.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 212893286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12893286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360).

12893286 is an abundant number, since it is smaller than the sum of its proper divisors (18625434).

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

12893286 is a wasteful number, since it uses less digits than its factorization.

12893286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289.

The product of its digits is 41472, while the sum is 39.

The square root of 12893286 is about 3590.7222114778. The cubic root of 12893286 is about 234.4883147706.

The spelling of 12893286 in words is "twelve million, eight hundred ninety-three thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 107 114 133 151 214 266 302 321 399 453 642 749 798 906 1057 1498 2033 2114 2247 2869 3171 4066 4494 5738 6099 6342 8607 12198 14231 16157 17214 20083 28462 32314 40166 42693 48471 60249 85386 96942 113099 120498 226198 306983 339297 613966 678594 920949 1841898 2148881 4297762 6446643 12893286