Search a number
-
+
20312323240 = 23511216325747
BaseRepresentation
bin10010111010101101…
…010111010010101000
31221102121012221012011
4102322231113102220
5313044423320430
613155323325304
71316233620166
oct227255272250
957377187164
1020312323240
118683860100
123b2a680834
131bb92cb8a1
14da9986236
157dd3b122a
hex4bab574a8

20312323240 has 96 divisors (see below), whose sum is σ = 50545383840. Its totient is φ = 7340699520.

The previous prime is 20312323237. The next prime is 20312323243. The reversal of 20312323240 is 4232321302.

It is an interprime number because it is at equal distance from previous prime (20312323237) and next prime (20312323243).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (20312323243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776047 + ... + 801793.

It is an arithmetic number, because the mean of its divisors is an integer number (526514415).

Almost surely, 220312323240 is an apocalyptic number.

20312323240 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 20312323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25272691920).

20312323240 is an abundant number, since it is smaller than the sum of its proper divisors (30233060600).

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

20312323240 is a wasteful number, since it uses less digits than its factorization.

20312323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25943 (or 25928 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20312323240 its reverse (4232321302), we get a palindrome (24544644542).

The spelling of 20312323240 in words is "twenty billion, three hundred twelve million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 163 220 242 326 440 484 605 652 815 968 1210 1304 1630 1793 2420 3260 3586 4840 6520 7172 8965 14344 17930 19723 25747 35860 39446 51494 71720 78892 98615 102988 128735 157784 197230 205976 257470 283217 394460 514940 566434 788920 1029880 1132868 1416085 2265736 2832170 3115387 4196761 5664340 6230774 8393522 11328680 12461548 15576935 16787044 20983805 24923096 31153870 33574088 41967610 46164371 62307740 83935220 92328742 124615480 167870440 184657484 230821855 369314968 461643710 507808081 923287420 1015616162 1846574840 2031232324 2539040405 4062464648 5078080810 10156161620 20312323240