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14086128 = 2437253113
BaseRepresentation
bin110101101110…
…111111110000
3222111122112110
4311232333300
512101224003
61221525320
7230505300
oct65567760
928448473
1014086128
117a51131
124873840
132bc26b4
141c29600
151383a03
hexd6eff0

14086128 has 120 divisors (see below), whose sum is σ = 43510608. Its totient is φ = 3913728.

The previous prime is 14086117. The next prime is 14086133. The reversal of 14086128 is 82168041.

It is a junction number, because it is equal to n+sod(n) for n = 14086095 and 14086104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124600 + ... + 124712.

Almost surely, 214086128 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 14086128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21755304).

14086128 is an abundant number, since it is smaller than the sum of its proper divisors (29424480).

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

14086128 is a wasteful number, since it uses less digits than its factorization.

14086128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 14086128 is about 3753.1490777746. The cubic root of 14086128 is about 241.5074561865.

It can be divided in two parts, 140 and 86128, that added together give a palindrome (86268).

The spelling of 14086128 in words is "fourteen million, eighty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 53 56 84 98 106 112 113 147 159 168 196 212 226 294 318 336 339 371 392 424 452 588 636 678 742 784 791 848 904 1113 1176 1272 1356 1484 1582 1808 2226 2352 2373 2544 2597 2712 2968 3164 4452 4746 5194 5424 5537 5936 5989 6328 7791 8904 9492 10388 11074 11978 12656 15582 16611 17808 17967 18984 20776 22148 23956 31164 33222 35934 37968 41552 41923 44296 47912 62328 66444 71868 83846 88592 95824 124656 125769 132888 143736 167692 251538 265776 287472 293461 335384 503076 586922 670768 880383 1006152 1173844 1760766 2012304 2347688 3521532 4695376 7043064 14086128