[go: up one dir, main page]

Search a number
-
+
14055120 = 24365241
BaseRepresentation
bin110101100111…
…011011010000
3222110002000000
4311213123100
512044230440
61221130000
7230316012
oct65473320
928402000
1014055120
117a2a902
124859900
132bb1551
141c1c1b2
151379730
hexd676d0

14055120 has 140 divisors (see below), whose sum is σ = 49198116. Its totient is φ = 3732480.

The previous prime is 14055113. The next prime is 14055131. The reversal of 14055120 is 2155041.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 6170256 = 2808^2 + 2484^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14055093 and 14055102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58200 + ... + 58440.

Almost surely, 214055120 is an apocalyptic number.

14055120 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 14055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24599058).

14055120 is an abundant number, since it is smaller than the sum of its proper divisors (35142996).

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

14055120 is an equidigital number, since it uses as much as digits as its factorization.

14055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 14055120 is about 3749.0158708653. The cubic root of 14055120 is about 241.3301146938.

The spelling of 14055120 in words is "fourteen million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 241 243 270 324 360 405 432 482 486 540 648 720 723 729 810 964 972 1080 1205 1215 1296 1446 1458 1620 1928 1944 2160 2169 2410 2430 2892 2916 3240 3615 3645 3856 3888 4338 4820 4860 5784 5832 6480 6507 7230 7290 8676 9640 9720 10845 11568 11664 13014 14460 14580 17352 19280 19440 19521 21690 26028 28920 29160 32535 34704 39042 43380 52056 57840 58320 58563 65070 78084 86760 97605 104112 117126 130140 156168 173520 175689 195210 234252 260280 292815 312336 351378 390420 468504 520560 585630 702756 780840 878445 937008 1171260 1405512 1561680 1756890 2342520 2811024 3513780 4685040 7027560 14055120