Search a number
-
+
2123052360 = 23351113231307
BaseRepresentation
bin111111010001011…
…0011010101001000
312110221220020022220
41332202303111020
513322000133420
6550400214040
7103416435012
oct17642632510
95427806286
102123052360
1199a453730
124b300a320
1327aacc700
14161d6b1b2
15c65bc840
hex7e8b3548

2123052360 has 384 divisors, whose sum is σ = 7791759360. Its totient is φ = 458265600.

The previous prime is 2123052319. The next prime is 2123052389. The reversal of 2123052360 is 632503212.

2123052360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2123052360.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6915327 + ... + 6915633.

It is an arithmetic number, because the mean of its divisors is an integer number (20291040).

Almost surely, 22123052360 is an apocalyptic number.

2123052360 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 2123052360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895879680).

2123052360 is an abundant number, since it is smaller than the sum of its proper divisors (5668707000).

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

2123052360 is a wasteful number, since it uses less digits than its factorization.

2123052360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2123052360 is about 46076.5923219155. The cubic root of 2123052360 is about 1285.2478963769.

Adding to 2123052360 its reverse (632503212), we get a palindrome (2755555572).

The spelling of 2123052360 in words is "two billion, one hundred twenty-three million, fifty-two thousand, three hundred sixty".