Search a number
-
+
2124000186 = 2371134713249
BaseRepresentation
bin111111010011001…
…1010101110111010
312111000200101111120
41332212122232322
513322221001221
6550432410110
7103430463240
oct17646325672
95430611446
102124000186
1199aa40860
124b33a6936
1327b071c59
14162136790
15c67085c6
hex7e99abba

2124000186 has 64 divisors (see below), whose sum is σ = 5311872000. Its totient is φ = 550056960.

The previous prime is 2124000163. The next prime is 2124000191. The reversal of 2124000186 is 6810004212.

It is a super-2 number, since 2×21240001862 = 9022753580256069192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153690 + ... + 166938.

It is an arithmetic number, because the mean of its divisors is an integer number (82998000).

Almost surely, 22124000186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124000186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655936000).

2124000186 is an abundant number, since it is smaller than the sum of its proper divisors (3187871814).

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

2124000186 is a wasteful number, since it uses less digits than its factorization.

2124000186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13619.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2124000186 is about 46086.8765051397. The cubic root of 2124000186 is about 1285.4391320643.

Adding to 2124000186 its reverse (6810004212), we get a palindrome (8934004398).

The spelling of 2124000186 in words is "two billion, one hundred twenty-four million, one hundred eighty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 347 462 694 1041 2082 2429 3817 4858 7287 7634 11451 13249 14574 22902 26498 26719 39747 53438 79494 80157 92743 145739 160314 185486 278229 291478 437217 556458 874434 1020173 2040346 3060519 4597403 6121038 9194806 13792209 27584418 32181821 50571433 64363642 96545463 101142866 151714299 193090926 303428598 354000031 708000062 1062000093 2124000186