Search a number
-
+
2123032340 = 22511136731103
BaseRepresentation
bin111111010001010…
…1110011100010100
312110221212012212102
41332202232130110
513321444013330
6550355541232
7103416322442
oct17642563424
95427765772
102123032340
1199a43a690
124b2bba818
1327aac3570
14161d63b92
15c65b6945
hex7e8ae714

2123032340 has 96 divisors (see below), whose sum is σ = 5250341376. Its totient is φ = 710922240.

The previous prime is 2123032339. The next prime is 2123032381. The reversal of 2123032340 is 432303212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1924229 + ... + 1925331.

It is an arithmetic number, because the mean of its divisors is an integer number (54691056).

Almost surely, 22123032340 is an apocalyptic number.

2123032340 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 2123032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625170688).

2123032340 is an abundant number, since it is smaller than the sum of its proper divisors (3127309036).

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

2123032340 is a wasteful number, since it uses less digits than its factorization.

2123032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2123032340 is about 46076.3750744348. The cubic root of 2123032340 is about 1285.2438564791.

Adding to 2123032340 its reverse (432303212), we get a palindrome (2555335552).

The spelling of 2123032340 in words is "two billion, one hundred twenty-three million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 673 715 1103 1346 1430 2206 2692 2860 3365 4412 5515 6730 7403 8749 11030 12133 13460 14339 14806 17498 22060 24266 28678 29612 34996 37015 43745 48532 57356 60665 71695 74030 87490 96239 121330 143390 148060 157729 174980 192478 242660 286780 315458 384956 481195 630916 742319 788645 962390 1484638 1577290 1924780 2969276 3154580 3711595 7423190 8165509 9650147 14846380 16331018 19300294 32662036 38600588 40827545 48250735 81655090 96501470 106151617 163310180 193002940 212303234 424606468 530758085 1061516170 2123032340