Search a number
-
+
2445600740 = 2251129597389
BaseRepresentation
bin1001000111000100…
…1110011111100100
320022102211101112012
42101301032133210
520002033210430
61042401413352
7114414156212
oct22161163744
96272741465
102445600740
111045529040
1258303a258
132cc89383b
14192b2dcb2
15e4a82695
hex91c4e7e4

2445600740 has 192 divisors, whose sum is σ = 6041952000. Its totient is φ = 823173120.

The previous prime is 2445600733. The next prime is 2445600743. The reversal of 2445600740 is 470065442.

2445600740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2445600697 and 2445600706.

It is not an unprimeable number, because it can be changed into a prime (2445600743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27478616 + ... + 27478704.

It is an arithmetic number, because the mean of its divisors is an integer number (31468500).

Almost surely, 22445600740 is an apocalyptic number.

2445600740 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 2445600740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020976000).

2445600740 is an abundant number, since it is smaller than the sum of its proper divisors (3596351260).

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

2445600740 is a wasteful number, since it uses less digits than its factorization.

2445600740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 2445600740 is about 49453.0154793416. The cubic root of 2445600740 is about 1347.2923764771.

The spelling of 2445600740 in words is "two billion, four hundred forty-five million, six hundred thousand, seven hundred forty".