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12986370 = 2325313461
BaseRepresentation
bin110001100010…
…100000000010
3220102202221200
4301202200002
511311030440
61142202030
7215245065
oct61424002
926382850
1012986370
11736a941
124423316
1328c8c57
141a208dc
151217c30
hexc62802

12986370 has 48 divisors (see below), whose sum is σ = 33945912. Its totient is φ = 3444480.

The previous prime is 12986359. The next prime is 12986377. The reversal of 12986370 is 7368921.

12986370 is a `hidden beast` number, since 12 + 9 + 8 + 637 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4915089 + 8071281 = 2217^2 + 2841^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12986377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27940 + ... + 28400.

Almost surely, 212986370 is an apocalyptic number.

12986370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12986370 is an abundant number, since it is smaller than the sum of its proper divisors (20959542).

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

12986370 is a wasteful number, since it uses less digits than its factorization.

12986370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12986370 is about 3603.6606388504. The cubic root of 12986370 is about 235.0512639030.

The spelling of 12986370 in words is "twelve million, nine hundred eighty-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 313 461 626 922 939 1383 1565 1878 2305 2766 2817 3130 4149 4610 4695 5634 6915 8298 9390 13830 14085 20745 28170 41490 144293 288586 432879 721465 865758 1298637 1442930 2164395 2597274 4328790 6493185 12986370