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12395064 = 23311291619
BaseRepresentation
bin101111010010…
…001000111000
3212022201211110
4233102020320
511133120224
61121400320
7210233133
oct57221070
925281743
1012395064
116aa6660
1241990a0
13274ca76
14190921a
15114c929
hexbd2238

12395064 has 64 divisors (see below), whose sum is σ = 34992000. Its totient is φ = 3624320.

The previous prime is 12395059. The next prime is 12395069. The reversal of 12395064 is 46059321.

It is an interprime number because it is at equal distance from previous prime (12395059) and next prime (12395069).

It is a super-2 number, since 2×123950642 = 307275223128192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12395069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6847 + ... + 8465.

It is an arithmetic number, because the mean of its divisors is an integer number (546750).

Almost surely, 212395064 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 12395064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496000).

12395064 is an abundant number, since it is smaller than the sum of its proper divisors (22596936).

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

12395064 is a wasteful number, since it uses less digits than its factorization.

12395064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 12395064 is about 3520.6624376671. The cubic root of 12395064 is about 231.4281895175.

The spelling of 12395064 in words is "twelve million, three hundred ninety-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1619 1914 2552 3238 3828 4857 6476 7656 9714 12952 17809 19428 35618 38856 46951 53427 71236 93902 106854 140853 142472 187804 213708 281706 375608 427416 516461 563412 1032922 1126824 1549383 2065844 3098766 4131688 6197532 12395064