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12057078 = 2311317183
BaseRepresentation
bin101101111111…
…100111110110
3211200120012110
4231333213312
511041311303
61110231450
7204324555
oct55774766
924616173
1012057078
116895730
124055586
132661c87
14185bd9c
1510d2703
hexb7f9f6

12057078 has 64 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 3444000.

The previous prime is 12057053. The next prime is 12057091. The reversal of 12057078 is 87075021.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145225 + ... + 145307.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 212057078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12057078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592).

12057078 is an abundant number, since it is smaller than the sum of its proper divisors (15812106).

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

12057078 is a wasteful number, since it uses less digits than its factorization.

12057078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 12057078 is about 3472.3303414278. The cubic root of 12057078 is about 229.3052633941.

The spelling of 12057078 in words is "twelve million, fifty-seven thousand, seventy-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 71 83 93 142 166 186 213 249 341 426 498 682 781 913 1023 1562 1826 2046 2201 2343 2573 2739 4402 4686 5146 5478 5893 6603 7719 11786 13206 15438 17679 24211 28303 35358 48422 56606 64823 72633 84909 129646 145266 169818 182683 194469 365366 388938 548049 1096098 2009513 4019026 6028539 12057078