Search a number
-
+
14340060 = 22325719599
BaseRepresentation
bin110110101100…
…111111011100
3222222112212100
4312230333130
512132340220
61231205100
7232613520
oct66547734
928875770
1014340060
118104999
124976790
132c81157
141c93d80
1513d3d90
hexdacfdc

14340060 has 144 divisors (see below), whose sum is σ = 52416000. Its totient is φ = 3100032.

The previous prime is 14340059. The next prime is 14340071. The reversal of 14340060 is 6004341.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23641 + ... + 24239.

It is an arithmetic number, because the mean of its divisors is an integer number (364000).

Almost surely, 214340060 is an apocalyptic number.

14340060 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 14340060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208000).

14340060 is an abundant number, since it is smaller than the sum of its proper divisors (38075940).

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

14340060 is a wasteful number, since it uses less digits than its factorization.

14340060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14340060 is about 3786.8271679600. The cubic root of 14340060 is about 242.9500481585.

The spelling of 14340060 in words is "fourteen million, three hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 599 630 665 684 798 855 1140 1197 1198 1260 1330 1596 1710 1797 1995 2394 2396 2660 2995 3420 3594 3990 4193 4788 5391 5985 5990 7188 7980 8386 8985 10782 11381 11970 11980 12579 16772 17970 20965 21564 22762 23940 25158 26955 34143 35940 37737 41930 45524 50316 53910 56905 62895 68286 75474 79667 83860 102429 107820 113810 125790 136572 150948 159334 170715 188685 204858 227620 239001 251580 318668 341430 377370 398335 409716 478002 512145 682860 717003 754740 796670 956004 1024290 1195005 1434006 1593340 2048580 2390010 2868012 3585015 4780020 7170030 14340060