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12680406 = 23223109281
BaseRepresentation
bin110000010111…
…110011010110
3212212020020200
4300113303112
511221233111
61131441330
7212532054
oct60276326
925766220
1012680406
117180a82
1242b6246
13281c8cb
1419811d4
1511a7256
hexc17cd6

12680406 has 48 divisors (see below), whose sum is σ = 29034720. Its totient is φ = 3991680.

The previous prime is 12680401. The next prime is 12680411. The reversal of 12680406 is 60408621.

It is an interprime number because it is at equal distance from previous prime (12680401) and next prime (12680411).

It is a self number, because there is not a number n which added to its sum of digits gives 12680406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12680401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44986 + ... + 45266.

It is an arithmetic number, because the mean of its divisors is an integer number (604890).

Almost surely, 212680406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12680406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517360).

12680406 is an abundant number, since it is smaller than the sum of its proper divisors (16354314).

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

12680406 is a wasteful number, since it uses less digits than its factorization.

12680406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12680406 is about 3560.9557705762. The cubic root of 12680406 is about 233.1906070455.

The spelling of 12680406 in words is "twelve million, six hundred eighty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 109 138 207 218 281 327 414 562 654 843 981 1686 1962 2507 2529 5014 5058 6463 7521 12926 15042 19389 22563 30629 38778 45126 58167 61258 91887 116334 183774 275661 551322 704467 1408934 2113401 4226802 6340203 12680406