Search a number
-
+
20012300 = 225271123113
BaseRepresentation
bin100110001010…
…1110100001100
31101122201201022
41030111310030
520110343200
61552533312
7332046620
oct114256414
941581638
1020012300
11103295a0
126851238
1341b8bc9
14292d180
151b54885
hex1315d0c

20012300 has 144 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 5913600.

The previous prime is 20012287. The next prime is 20012303. The reversal of 20012300 is 321002.

20012300 is a modest number, since divided by 12300 gives 200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012303) by changing a digit.

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, 177044 + ... + 177156.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 220012300 is an apocalyptic number.

20012300 is a gapful number since it is divisible by the number (20) 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 20012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

20012300 is an abundant number, since it is smaller than the sum of its proper divisors (36984052).

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

20012300 is a wasteful number, since it uses less digits than its factorization.

20012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 20012300 is about 4473.5109254365. The cubic root of 20012300 is about 271.4973958172.

Adding to 20012300 its reverse (321002), we get a palindrome (20333302).

The spelling of 20012300 in words is "twenty million, twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 25 28 35 44 46 50 55 70 77 92 100 110 113 115 140 154 161 175 220 226 230 253 275 308 322 350 385 452 460 506 550 565 575 644 700 770 791 805 1012 1100 1130 1150 1243 1265 1540 1582 1610 1771 1925 2260 2300 2486 2530 2599 2825 3164 3220 3542 3850 3955 4025 4972 5060 5198 5650 6215 6325 7084 7700 7910 8050 8701 8855 10396 11300 12430 12650 12995 15820 16100 17402 17710 18193 19775 24860 25300 25990 28589 31075 34804 35420 36386 39550 43505 44275 51980 57178 62150 64975 72772 79100 87010 88550 90965 114356 124300 129950 142945 174020 177100 181930 200123 217525 259900 285890 363860 400246 435050 454825 571780 714725 800492 870100 909650 1000615 1429450 1819300 2001230 2858900 4002460 5003075 10006150 20012300