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12085368 = 23317191559
BaseRepresentation
bin101110000110…
…100001111000
3211202000000020
4232012201320
511043212433
61111010440
7204503211
oct56064170
924660006
1012085368
116904a09
124069a20
132671b09
141868408
1510dacb3
hexb86878

12085368 has 64 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 3589632.

The previous prime is 12085343. The next prime is 12085397. The reversal of 12085368 is 86358021.

It is a happy number.

It is a super-2 number, since 2×120853682 = 292112239390848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 6973 + ... + 8531.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 212085368 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 12085368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

12085368 is an abundant number, since it is smaller than the sum of its proper divisors (21610632).

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

12085368 is a wasteful number, since it uses less digits than its factorization.

12085368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 12085368 is about 3476.4015878491. The cubic root of 12085368 is about 229.4844659864.

The spelling of 12085368 in words is "twelve million, eighty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1559 1938 2584 3118 3876 4677 6236 7752 9354 12472 18708 26503 29621 37416 53006 59242 79509 88863 106012 118484 159018 177726 212024 236968 318036 355452 503557 636072 710904 1007114 1510671 2014228 3021342 4028456 6042684 12085368