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14057340 = 22351119259
BaseRepresentation
bin110101100111…
…111101111100
3222110012001020
4311213331330
512044313330
61221144140
7230325333
oct65477574
928405036
1014057340
117a31540
12485b050
132bb256b
141c1cd1a
15137a210
hexd67f7c

14057340 has 144 divisors (see below), whose sum is σ = 46085760. Its totient is φ = 3173760.

The previous prime is 14057327. The next prime is 14057387. The reversal of 14057340 is 4375041.

It is a super-3 number, since 3×140573403 (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14057340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238231 + ... + 238289.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 214057340 is an apocalyptic number.

14057340 is a gapful number since it is divisible by the number (10) 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 14057340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880).

14057340 is an abundant number, since it is smaller than the sum of its proper divisors (32028420).

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

14057340 is a wasteful number, since it uses less digits than its factorization.

14057340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 14057340 is about 3749.3119368759. The cubic root of 14057340 is about 241.3428200199.

The spelling of 14057340 in words is "fourteen million, fifty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 59 60 66 76 95 110 114 118 132 165 177 190 209 220 228 236 285 295 330 354 361 380 418 570 590 627 649 660 708 722 836 885 1045 1083 1121 1140 1180 1254 1298 1444 1770 1805 1947 2090 2166 2242 2508 2596 3135 3245 3363 3540 3610 3894 3971 4180 4332 4484 5415 5605 6270 6490 6726 7220 7788 7942 9735 10830 11210 11913 12331 12540 12980 13452 15884 16815 19470 19855 21299 21660 22420 23826 24662 33630 36993 38940 39710 42598 47652 49324 59565 61655 63897 67260 73986 79420 85196 106495 119130 123310 127794 147972 184965 212990 234289 238260 246620 255588 319485 369930 425980 468578 638970 702867 739860 937156 1171445 1277940 1405734 2342890 2811468 3514335 4685780 7028670 14057340