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12682260 = 2232570457
BaseRepresentation
bin110000011000…
…010000010100
3212212022210100
4300120100110
511221313020
61131454100
7212540343
oct60302024
925768710
1012682260
117182408
1242b7330
1328206c6
141981b5a
1511a7a90
hexc18414

12682260 has 36 divisors (see below), whose sum is σ = 38470068. Its totient is φ = 3381888.

The previous prime is 12682247. The next prime is 12682261. The reversal of 12682260 is 6228621.

It can be written as a sum of positive squares in 2 ways, for example, as 1633284 + 11048976 = 1278^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×126822603 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12682261) 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 11 ways as a sum of consecutive naturals, for example, 35049 + ... + 35408.

It is an arithmetic number, because the mean of its divisors is an integer number (1068613).

Almost surely, 212682260 is an apocalyptic number.

12682260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12682260 is an abundant number, since it is smaller than the sum of its proper divisors (25787808).

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

12682260 is a wasteful number, since it uses less digits than its factorization.

12682260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70472 (or 70467 counting only the distinct ones).

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

The square root of 12682260 is about 3561.2160844296. The cubic root of 12682260 is about 233.2019714113.

The spelling of 12682260 in words is "twelve million, six hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 70457 140914 211371 281828 352285 422742 634113 704570 845484 1056855 1268226 1409140 2113710 2536452 3170565 4227420 6341130 12682260