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2605340220 = 2235722327817
BaseRepresentation
bin1001101101001010…
…0101011000111100
320201120101222220020
42123102211120330
520313431341340
61110305252140
7121364012040
oct23322453074
96646358806
102605340220
11111771273a
12608634050
133269c2842
141aa032020
15103ad79d0
hex9b4a563c

2605340220 has 96 divisors (see below), whose sum is σ = 8374775808. Its totient is φ = 592814592.

The previous prime is 2605340209. The next prime is 2605340233. The reversal of 2605340220 is 220435062.

2605340220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79752 + ... + 107568.

It is an arithmetic number, because the mean of its divisors is an integer number (87237248).

Almost surely, 22605340220 is an apocalyptic number.

2605340220 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 2605340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187387904).

2605340220 is an abundant number, since it is smaller than the sum of its proper divisors (5769435588).

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

2605340220 is a wasteful number, since it uses less digits than its factorization.

2605340220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28059 (or 28057 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2605340220 is about 51042.5334402594. The cubic root of 2605340220 is about 1376.0096553485.

Adding to 2605340220 its reverse (220435062), we get a palindrome (2825775282).

The spelling of 2605340220 in words is "two billion, six hundred five million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 223 420 446 669 892 1115 1338 1561 2230 2676 3122 3345 4460 4683 6244 6690 7805 9366 13380 15610 18732 23415 27817 31220 46830 55634 83451 93660 111268 139085 166902 194719 278170 333804 389438 417255 556340 584157 778876 834510 973595 1168314 1669020 1947190 2336628 2920785 3894380 5841570 6203191 11683140 12406382 18609573 24812764 31015955 37219146 43422337 62031910 74438292 86844674 93047865 124063820 130267011 173689348 186095730 217111685 260534022 372191460 434223370 521068044 651335055 868446740 1302670110 2605340220