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14068296 = 23331131191
BaseRepresentation
bin110101101010…
…101001001000
3222110202002000
4311222221020
512100141141
61221311000
7230402304
oct65525110
928422060
1014068296
117a397a0
124865460
132bb7548
141c22d04
15137d5b6
hexd6aa48

14068296 has 128 divisors (see below), whose sum is σ = 44236800. Its totient is φ = 4104000.

The previous prime is 14068291. The next prime is 14068297. The reversal of 14068296 is 69286041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14068296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14068291) 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 31 ways as a sum of consecutive naturals, for example, 73561 + ... + 73751.

It is an arithmetic number, because the mean of its divisors is an integer number (345600).

Almost surely, 214068296 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 14068296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22118400).

14068296 is an abundant number, since it is smaller than the sum of its proper divisors (30168504).

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

14068296 is a wasteful number, since it uses less digits than its factorization.

14068296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 14068296 is about 3750.7727203871. The cubic root of 14068296 is about 241.4055029386.

The spelling of 14068296 in words is "fourteen million, sixty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 191 198 216 248 264 279 297 341 372 382 396 558 573 594 682 744 764 792 837 1023 1116 1146 1188 1364 1528 1674 1719 2046 2101 2232 2292 2376 2728 3069 3348 3438 4092 4202 4584 5157 5921 6138 6303 6696 6876 8184 8404 9207 10314 11842 12276 12606 13752 16808 17763 18414 18909 20628 23684 24552 25212 35526 36828 37818 41256 47368 50424 53289 56727 65131 71052 73656 75636 106578 113454 130262 142104 151272 159867 195393 213156 226908 260524 319734 390786 426312 453816 521048 586179 639468 781572 1172358 1278936 1563144 1758537 2344716 3517074 4689432 7034148 14068296