Search a number
-
+
14120568 = 2334711283
BaseRepresentation
bin110101110111…
…011001111000
3222120101210000
4311313121320
512103324233
61222353000
7231010560
oct65673170
928511700
1014120568
117a74aa0
12488b760
132c05287
141c37da0
15138dd13
hexd77678

14120568 has 160 divisors (see below), whose sum is σ = 49484160. Its totient is φ = 3654720.

The previous prime is 14120567. The next prime is 14120573. The reversal of 14120568 is 86502141.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14120567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49755 + ... + 50037.

It is an arithmetic number, because the mean of its divisors is an integer number (309276).

Almost surely, 214120568 is an apocalyptic number.

14120568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14120568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24742080).

14120568 is an abundant number, since it is smaller than the sum of its proper divisors (35363592).

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

14120568 is a wasteful number, since it uses less digits than its factorization.

14120568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 14120568 is about 3757.7344238251. The cubic root of 14120568 is about 241.7041212393.

The spelling of 14120568 in words is "fourteen million, one hundred twenty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 283 297 308 324 378 396 462 504 566 567 594 616 648 693 756 792 849 891 924 1132 1134 1188 1386 1512 1698 1782 1848 1981 2079 2264 2268 2376 2547 2772 3113 3396 3564 3962 4158 4536 5094 5544 5943 6226 6237 6792 7128 7641 7924 8316 9339 10188 11886 12452 12474 15282 15848 16632 17829 18678 20376 21791 22923 23772 24904 24948 28017 30564 35658 37356 43582 45846 47544 49896 53487 56034 61128 65373 71316 74712 84051 87164 91692 106974 112068 130746 142632 160461 168102 174328 183384 196119 213948 224136 252153 261492 320922 336204 392238 427896 504306 522984 588357 641844 672408 784476 1008612 1176714 1283688 1568952 1765071 2017224 2353428 3530142 4706856 7060284 14120568