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2124040180 = 225172894129
BaseRepresentation
bin111111010011010…
…0100011111110100
312111000202102100211
41332212210133310
513322223241210
6550433315204
7103431020653
oct17646443764
95430672324
102124040180
1199aa68909
124b3405b04
1327b087212
1416214719a
15c671538a
hex7e9a47f4

2124040180 has 72 divisors (see below), whose sum is σ = 4792699800. Its totient is φ = 790462464.

The previous prime is 2124040103. The next prime is 2124040187. The reversal of 2124040180 is 810404212.

It can be written as a sum of positive squares in 12 ways, for example, as 194546704 + 1929493476 = 13948^2 + 43926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124040187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512356 + ... + 516484.

It is an arithmetic number, because the mean of its divisors is an integer number (66565275).

Almost surely, 22124040180 is an apocalyptic number.

2124040180 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 2124040180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396349900).

2124040180 is an abundant number, since it is smaller than the sum of its proper divisors (2668659620).

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

2124040180 is a wasteful number, since it uses less digits than its factorization.

2124040180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2124040180 is about 46087.3104010204. The cubic root of 2124040180 is about 1285.4472001003.

Adding to 2124040180 its reverse (810404212), we get a palindrome (2934444392).

The spelling of 2124040180 in words is "two billion, one hundred twenty-four million, forty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 289 340 356 445 578 890 1156 1445 1513 1780 2890 3026 4129 5780 6052 7565 8258 15130 16516 20645 25721 30260 41290 51442 70193 82580 102884 128605 140386 257210 280772 350965 367481 514420 701930 734962 1193281 1403860 1469924 1837405 2386562 3674810 4773124 5966405 6247177 7349620 11932810 12494354 23865620 24988708 31235885 62471770 106202009 124943540 212404018 424808036 531010045 1062020090 2124040180