Search a number
-
+
2068348540 = 225181743769
BaseRepresentation
bin111101101001000…
…0111111001111100
312100010221222210111
41323102013321330
513213444123130
6541123515404
7102153446446
oct17322077174
95303858714
102068348540
1197158a965
12498828b64
1326c68829b
141589ab496
15c18b402a
hex7b487e7c

2068348540 has 48 divisors (see below), whose sum is σ = 4379094720. Its totient is φ = 820592640.

The previous prime is 2068348511. The next prime is 2068348549. The reversal of 2068348540 is 458438602.

It is a junction number, because it is equal to n+sod(n) for n = 2068348493 and 2068348502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068348549) 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 15 ways as a sum of consecutive naturals, for example, 2689276 + ... + 2690044.

It is an arithmetic number, because the mean of its divisors is an integer number (91231140).

Almost surely, 22068348540 is an apocalyptic number.

2068348540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2068348540 is an abundant number, since it is smaller than the sum of its proper divisors (2310746180).

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

2068348540 is a wasteful number, since it uses less digits than its factorization.

2068348540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 2068348540 is about 45479.1000350711. The cubic root of 2068348540 is about 1274.1128859224.

The spelling of 2068348540 in words is "two billion, sixty-eight million, three hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 181 362 724 743 769 905 1486 1538 1810 2972 3076 3620 3715 3845 7430 7690 14860 15380 134483 139189 268966 278378 537932 556756 571367 672415 695945 1142734 1344830 1391890 2285468 2689660 2783780 2856835 5713670 11427340 103417427 206834854 413669708 517087135 1034174270 2068348540