Search a number
-
+
14185500 = 2235372193
BaseRepresentation
bin110110000111…
…010000011100
3222200200211220
4312013100130
512112414000
61224013340
7231401100
oct66072034
928620756
1014185500
11800985a
124901250
132c289b4
141c53900
1513a31a0
hexd8741c

14185500 has 144 divisors (see below), whose sum is σ = 48301344. Its totient is φ = 3225600.

The previous prime is 14185487. The next prime is 14185517. The reversal of 14185500 is 558141.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 73404 + ... + 73596.

It is an arithmetic number, because the mean of its divisors is an integer number (335426).

Almost surely, 214185500 is an apocalyptic number.

14185500 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 14185500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24150672).

14185500 is an abundant number, since it is smaller than the sum of its proper divisors (34115844).

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

14185500 is a wasteful number, since it uses less digits than its factorization.

14185500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 14185500 is about 3766.3642946481. The cubic root of 14185500 is about 242.0740387715.

The spelling of 14185500 in words is "fourteen million, one hundred eighty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 125 140 147 150 175 193 196 210 245 250 294 300 350 375 386 420 490 500 525 579 588 700 735 750 772 875 965 980 1050 1158 1225 1351 1470 1500 1750 1930 2100 2316 2450 2625 2702 2895 2940 3500 3675 3860 4053 4825 4900 5250 5404 5790 6125 6755 7350 8106 9457 9650 10500 11580 12250 13510 14475 14700 16212 18375 18914 19300 20265 24125 24500 27020 28371 28950 33775 36750 37828 40530 47285 48250 56742 57900 67550 72375 73500 81060 94570 96500 101325 113484 135100 141855 144750 168875 189140 202650 236425 283710 289500 337750 405300 472850 506625 567420 675500 709275 945700 1013250 1182125 1418550 2026500 2364250 2837100 3546375 4728500 7092750 14185500