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12860505 = 335731439
BaseRepresentation
bin110001000011…
…110001011001
3220012101022000
4301003301121
511243014010
61135351213
7214212120
oct61036131
926171260
1012860505
117294319
124382509
132883888
1419caab7
1511e07c0
hexc43c59

12860505 has 64 divisors (see below), whose sum is σ = 27033600. Its totient is φ = 5676480.

The previous prime is 12860501. The next prime is 12860531. The reversal of 12860505 is 50506821.

It is not a de Polignac number, because 12860505 - 22 = 12860501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12860501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29076 + ... + 29514.

It is an arithmetic number, because the mean of its divisors is an integer number (422400).

Almost surely, 212860505 is an apocalyptic number.

12860505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12860505 is an abundant number, since it is smaller than the sum of its proper divisors (14173095).

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

12860505 is a wasteful number, since it uses less digits than its factorization.

12860505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 12860505 is about 3586.1546257795. The cubic root of 12860505 is about 234.2894183538.

The spelling of 12860505 in words is "twelve million, eight hundred sixty thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 93 105 135 155 189 217 279 315 439 465 651 837 945 1085 1317 1395 1953 2195 3073 3255 3951 4185 5859 6585 9219 9765 11853 13609 15365 19755 27657 29295 40827 46095 59265 68045 82971 95263 122481 138285 204135 285789 367443 414855 476315 612405 857367 1428945 1837215 2572101 4286835 12860505