Search a number
-
+
2068293340 = 2252931373109
BaseRepresentation
bin111101101000111…
…1010011011011100
312100010212012002001
41323101322123130
513213440341330
6541122412044
7102153126511
oct17321723334
95303765061
102068293340
11971552443
12498801024
1326c669119
14158995308
15c18a29ca
hex7b47a6dc

2068293340 has 96 divisors (see below), whose sum is σ = 4765017600. Its totient is φ = 751887360.

The previous prime is 2068293301. The next prime is 2068293341. The reversal of 2068293340 is 433928602.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2068293340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068293341) 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 31 ways as a sum of consecutive naturals, for example, 663706 + ... + 666814.

It is an arithmetic number, because the mean of its divisors is an integer number (49635600).

Almost surely, 22068293340 is an apocalyptic number.

2068293340 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 2068293340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382508800).

2068293340 is an abundant number, since it is smaller than the sum of its proper divisors (2696724260).

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

2068293340 is a wasteful number, since it uses less digits than its factorization.

2068293340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 2068293340 is about 45478.4931588548. The cubic root of 2068293340 is about 1274.1015513309.

The spelling of 2068293340 in words is "two billion, sixty-eight million, two hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 31 37 58 62 74 116 124 145 148 155 185 290 310 370 580 620 740 899 1073 1147 1798 2146 2294 3109 3596 4292 4495 4588 5365 5735 6218 8990 10730 11470 12436 15545 17980 21460 22940 31090 33263 62180 66526 90161 96379 115033 133052 166315 180322 192758 230066 332630 360644 385516 450805 460132 481895 575165 665260 901610 963790 1150330 1803220 1927580 2300660 2794991 3335957 3566023 5589982 6671914 7132046 11179964 13343828 13974955 14264092 16679785 17830115 27949910 33359570 35660230 55899820 66719140 71320460 103414667 206829334 413658668 517073335 1034146670 2068293340