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12883717 = 721124153
BaseRepresentation
bin110001001001…
…011100000101
3220020120010201
4301021130011
511244234332
61140050501
7214336600
oct61113405
926216121
1012883717
1172aa800
124393a31
132891302
1419d5337
1511e75e7
hexc49705

12883717 has 36 divisors (see below), whose sum is σ = 17193708. Its totient is φ = 9609600.

The previous prime is 12883709. The next prime is 12883721. The reversal of 12883717 is 71738821.

It can be written as a sum of positive squares in 2 ways, for example, as 4322241 + 8561476 = 2079^2 + 2926^2 .

It is not a de Polignac number, because 12883717 - 23 = 12883709 is a prime.

Its product of digits (18816) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12883747) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243063 + ... + 243115.

It is an arithmetic number, because the mean of its divisors is an integer number (477603).

Almost surely, 212883717 is an apocalyptic number.

It is an amenable number.

12883717 is a deficient number, since it is larger than the sum of its proper divisors (4309991).

12883717 is a wasteful number, since it uses less digits than its factorization.

12883717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its digits is 18816, while the sum is 37.

The square root of 12883717 is about 3589.3895024085. The cubic root of 12883717 is about 234.4302904105.

It can be divided in two parts, 1288 and 3717, that added together give a palindrome (5005).

The spelling of 12883717 in words is "twelve million, eight hundred eighty-three thousand, seven hundred seventeen".

Divisors: 1 7 11 41 49 53 77 121 287 371 451 539 583 847 2009 2173 2597 3157 4081 4961 5929 6413 15211 22099 23903 28567 34727 44891 106477 167321 243089 262933 314237 1171247 1840531 12883717