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2124044000 = 25531340847
BaseRepresentation
bin111111010011010…
…0101011011100000
312111000202121121022
41332212211123200
513322223402000
6550433345012
7103431035051
oct17646453340
95430677538
102124044000
1199aa70771
124b3408168
1327b088b90
14162148728
15c6716585
hex7e9a56e0

2124044000 has 96 divisors (see below), whose sum is σ = 5620358016. Its totient is φ = 784243200.

The previous prime is 2124043981. The next prime is 2124044093. The reversal of 2124044000 is 4404212.

It is a self number, because there is not a number n which added to its sum of digits gives 2124044000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31577 + ... + 72423.

It is an arithmetic number, because the mean of its divisors is an integer number (58545396).

Almost surely, 22124044000 is an apocalyptic number.

2124044000 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 2124044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810179008).

2124044000 is an abundant number, since it is smaller than the sum of its proper divisors (3496314016).

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

2124044000 is a wasteful number, since it uses less digits than its factorization.

2124044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40885 (or 40867 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2124044000 is about 46087.3518440797. The cubic root of 2124044000 is about 1285.4479707081.

Adding to 2124044000 its reverse (4404212), we get a palindrome (2128448212).

The spelling of 2124044000 in words is "two billion, one hundred twenty-four million, forty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 40847 52000 81694 163388 204235 326776 408470 531011 653552 816940 1021175 1062022 1307104 1633880 2042350 2124044 2655055 3267760 4084700 4248088 5105875 5310110 6535520 8169400 8496176 10211750 10620220 13275275 16338800 16992352 20423500 21240440 26550550 32677600 40847000 42480880 53101100 66376375 81694000 84961760 106202200 132752750 163388000 212404400 265505500 424808800 531011000 1062022000 2124044000