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12686440 = 2351331787
BaseRepresentation
bin110000011001…
…010001101000
3212212112112011
4300121101220
511221431230
61131525304
7212555464
oct60312150
925775464
1012686440
117185568
1242b9834
132822590
1419834a4
1511a8e2a
hexc19468

12686440 has 64 divisors (see below), whose sum is σ = 31772160. Its totient is φ = 4527360.

The previous prime is 12686431. The next prime is 12686441. The reversal of 12686440 is 4468621.

12686440 = T592 + T593 + ... + T656.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (12686441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15727 + ... + 16513.

It is an arithmetic number, because the mean of its divisors is an integer number (496440).

Almost surely, 212686440 is an apocalyptic number.

12686440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12686440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15886080).

12686440 is an abundant number, since it is smaller than the sum of its proper divisors (19085720).

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

12686440 is a wasteful number, since it uses less digits than its factorization.

12686440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 12686440 is about 3561.8029142556. The cubic root of 12686440 is about 233.2275892734.

The spelling of 12686440 in words is "twelve million, six hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 787 806 1240 1574 1612 2015 3148 3224 3935 4030 6296 7870 8060 10231 15740 16120 20462 24397 31480 40924 48794 51155 81848 97588 102310 121985 195176 204620 243970 317161 409240 487940 634322 975880 1268644 1585805 2537288 3171610 6343220 12686440