Search a number
-
+
14140560 = 2435719443
BaseRepresentation
bin110101111100…
…010010010000
3222121102012110
4311330102100
512104444220
61223025320
7231123060
oct65742220
928542173
1014140560
117a89015
12489b240
132c113c5
141c413a0
151394be0
hexd7c490

14140560 has 160 divisors (see below), whose sum is σ = 52853760. Its totient is φ = 3055104.

The previous prime is 14140543. The next prime is 14140591. The reversal of 14140560 is 6504141.

It is a super-2 number, since 2×141405602 = 399910874227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 31699 + ... + 32141.

It is an arithmetic number, because the mean of its divisors is an integer number (330336).

Almost surely, 214140560 is an apocalyptic number.

14140560 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 14140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26426880).

14140560 is an abundant number, since it is smaller than the sum of its proper divisors (38713200).

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

14140560 is a wasteful number, since it uses less digits than its factorization.

14140560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 14140560 is about 3760.3935964205. The cubic root of 14140560 is about 241.8181362497.

The spelling of 14140560 in words is "fourteen million, one hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 443 456 532 560 570 665 760 798 840 886 912 1064 1140 1329 1330 1520 1596 1680 1772 1995 2128 2215 2280 2658 2660 3101 3192 3544 3990 4430 4560 5316 5320 6202 6384 6645 7088 7980 8417 8860 9303 10632 10640 12404 13290 15505 15960 16834 17720 18606 21264 24808 25251 26580 31010 31920 33668 35440 37212 42085 46515 49616 50502 53160 58919 62020 67336 74424 84170 93030 101004 106320 117838 124040 126255 134672 148848 168340 176757 186060 202008 235676 248080 252510 294595 336680 353514 372120 404016 471352 505020 589190 673360 707028 744240 883785 942704 1010040 1178380 1414056 1767570 2020080 2356760 2828112 3535140 4713520 7070280 14140560