Search a number
-
+
14931150 = 23521321931
BaseRepresentation
bin111000111101…
…010011001110
31001002120200120
4320331103032
512310244100
61252005410
7240625023
oct70752316
931076616
1014931150
118478aa3
125000866
13312a200
141da954a
15149e0a0
hexe3d4ce

14931150 has 144 divisors (see below), whose sum is σ = 43568640. Its totient is φ = 3369600.

The previous prime is 14931149. The next prime is 14931157. The reversal of 14931150 is 5113941.

It is a self number, because there is not a number n which added to its sum of digits gives 14931150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14931157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 481635 + ... + 481665.

It is an arithmetic number, because the mean of its divisors is an integer number (302560).

Almost surely, 214931150 is an apocalyptic number.

14931150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14931150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784320).

14931150 is an abundant number, since it is smaller than the sum of its proper divisors (28637490).

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

14931150 is a wasteful number, since it uses less digits than its factorization.

14931150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 14931150 is about 3864.0846264025. The cubic root of 14931150 is about 246.2432981934.

The spelling of 14931150 in words is "fourteen million, nine hundred thirty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 19 25 26 30 31 38 39 50 57 62 65 75 78 93 95 114 130 150 155 169 186 190 195 247 285 310 325 338 390 403 465 475 494 507 570 589 650 741 775 806 845 930 950 975 1014 1178 1209 1235 1425 1482 1550 1690 1767 1950 2015 2325 2418 2470 2535 2850 2945 3211 3534 3705 4030 4225 4650 5070 5239 5890 6045 6175 6422 7410 7657 8450 8835 9633 10075 10478 12090 12350 12675 14725 15314 15717 16055 17670 18525 19266 20150 22971 25350 26195 29450 30225 31434 32110 37050 38285 44175 45942 48165 52390 60450 76570 78585 80275 88350 96330 99541 114855 130975 157170 160550 191425 199082 229710 240825 261950 298623 382850 392925 481650 497705 574275 597246 785850 995410 1148550 1493115 2488525 2986230 4977050 7465575 14931150