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12683394 = 23217181229
BaseRepresentation
bin110000011000…
…100010000010
3212212101100100
4300120202002
511221332034
61131503230
7212543553
oct60304202
925771310
1012683394
117183249
1242b7b16
132821089
14198232a
1511a8099
hexc18882

12683394 has 48 divisors (see below), whose sum is σ = 29385720. Its totient is φ = 3939840.

The previous prime is 12683389. The next prime is 12683399. The reversal of 12683394 is 49338621.

12683394 is a `hidden beast` number, since 1 + 268 + 3 + 394 = 666.

It is an interprime number because it is at equal distance from previous prime (12683389) and next prime (12683399).

It can be written as a sum of positive squares in 4 ways, for example, as 11390625 + 1292769 = 3375^2 + 1137^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (31104) is a multiple of the sum of its prime divisors (432).

It is not an unprimeable number, because it can be changed into a prime (12683399) 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, 55272 + ... + 55500.

Almost surely, 212683394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12683394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692860).

12683394 is an abundant number, since it is smaller than the sum of its proper divisors (16702326).

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

12683394 is a wasteful number, since it uses less digits than its factorization.

12683394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 432 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12683394 is about 3561.3752961461. The cubic root of 12683394 is about 233.2089218852.

The spelling of 12683394 in words is "twelve million, six hundred eighty-three thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 181 229 306 362 458 543 687 1086 1374 1629 2061 3077 3258 3893 4122 6154 7786 9231 11679 18462 23358 27693 35037 41449 55386 70074 82898 124347 248694 373041 704633 746082 1409266 2113899 4227798 6341697 12683394