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12601428 = 2237229739
BaseRepresentation
bin110000000100…
…100001010100
3212201012220120
4300010201110
511211221203
61130031540
7212052600
oct60044124
925635816
1012601428
117127704
1242785b0
1327c2988
141960500
15118db53
hexc04854

12601428 has 72 divisors (see below), whose sum is σ = 35431200. Its totient is φ = 3471552.

The previous prime is 12601417. The next prime is 12601453. The reversal of 12601428 is 82410621.

It is a junction number, because it is equal to n+sod(n) for n = 12601398 and 12601407.

It is a congruent number.

It is an unprimeable number.

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, 16683 + ... + 17421.

It is an arithmetic number, because the mean of its divisors is an integer number (492100).

Almost surely, 212601428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12601428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17715600).

12601428 is an abundant number, since it is smaller than the sum of its proper divisors (22829772).

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

12601428 is a wasteful number, since it uses less digits than its factorization.

12601428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12601428 is about 3549.8490108736. The cubic root of 12601428 is about 232.7054675763.

The spelling of 12601428 in words is "twelve million, six hundred one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 739 812 1218 1421 1478 2217 2436 2842 2956 4263 4434 5173 5684 8526 8868 10346 15519 17052 20692 21431 31038 36211 42862 62076 64293 72422 85724 108633 128586 144844 150017 217266 257172 300034 434532 450051 600068 900102 1050119 1800204 2100238 3150357 4200476 6300714 12601428