Search a number
-
+
2105306740 = 225105265337
BaseRepresentation
bin111110101111100…
…0110111001110100
312102201111122220201
41331133012321310
513302424303430
6544524010244
7103112545345
oct17537067164
95381448821
102105306740
11990433129
124a9090984
13277228444
1415d86c0cc
15c4c648ca
hex7d7c6e74

2105306740 has 12 divisors (see below), whose sum is σ = 4421144196. Its totient is φ = 842122688.

The previous prime is 2105306717. The next prime is 2105306743. The reversal of 2105306740 is 476035012.

It can be written as a sum of positive squares in 2 ways, for example, as 1470569104 + 634737636 = 38348^2 + 25194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2105306699 and 2105306708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105306743) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52632649 + ... + 52632688.

It is an arithmetic number, because the mean of its divisors is an integer number (368428683).

Almost surely, 22105306740 is an apocalyptic number.

2105306740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105306740 is an abundant number, since it is smaller than the sum of its proper divisors (2315837456).

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

2105306740 is a wasteful number, since it uses less digits than its factorization.

2105306740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105265346 (or 105265344 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2105306740 is about 45883.6216966359. The cubic root of 2105306740 is about 1281.6569402911.

The spelling of 2105306740 in words is "two billion, one hundred five million, three hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 105265337 210530674 421061348 526326685 1052653370 2105306740