Search a number
-
+
18147300 = 22352241251
BaseRepresentation
bin100010100111…
…0011111100100
31021010222102020
41011032133210
514121203200
61444543140
7310151403
oct105163744
937128366
1018147300
11a275376
1260b1ab0
1339b5062
1425a563a
1518d6ea0
hex114e7e4

18147300 has 72 divisors (see below), whose sum is σ = 52934112. Its totient is φ = 4800000.

The previous prime is 18147293. The next prime is 18147319. The reversal of 18147300 is 374181.

18147300 is a nontrivial binomial coefficient, being equal to C(6025, 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72175 + ... + 72425.

It is an arithmetic number, because the mean of its divisors is an integer number (735196).

Almost surely, 218147300 is an apocalyptic number.

18147300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18147300 is the 6024-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18147300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26467056).

18147300 is an abundant number, since it is smaller than the sum of its proper divisors (34786812).

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

18147300 is a wasteful number, since it uses less digits than its factorization.

18147300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 18147300 is about 4259.9647885869. The cubic root of 18147300 is about 262.7870782181.

The spelling of 18147300 in words is "eighteen million, one hundred forty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 241 251 300 482 502 723 753 964 1004 1205 1255 1446 1506 2410 2510 2892 3012 3615 3765 4820 5020 6025 6275 7230 7530 12050 12550 14460 15060 18075 18825 24100 25100 36150 37650 60491 72300 75300 120982 181473 241964 302455 362946 604910 725892 907365 1209820 1512275 1814730 3024550 3629460 4536825 6049100 9073650 18147300