Search a number
-
+
20241431340 = 223513226911437
BaseRepresentation
bin10010110110011110…
…111011101100101100
31221020122211020210020
4102312132323230230
5312423301300330
613144312042140
71314413220234
oct226636735454
957218736706
1020241431340
11864783aa59
123b0a993350
131ba770a110
14da03b0cc4
157d705b210
hex4b67bbb2c

20241431340 has 96 divisors (see below), whose sum is σ = 61067939520. Its totient is φ = 4979874816.

The previous prime is 20241431299. The next prime is 20241431351. The reversal of 20241431340 is 4313414202.

It is a self number, because there is not a number n which added to its sum of digits gives 20241431340.

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, 1764102 + ... + 1775538.

It is an arithmetic number, because the mean of its divisors is an integer number (636124370).

Almost surely, 220241431340 is an apocalyptic number.

20241431340 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 20241431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30533969760).

20241431340 is an abundant number, since it is smaller than the sum of its proper divisors (40826508180).

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

20241431340 is a wasteful number, since it uses less digits than its factorization.

20241431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731 (or 13729 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20241431340 its reverse (4313414202), we get a palindrome (24554845542).

The spelling of 20241431340 in words is "twenty billion, two hundred forty-one million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2269 4538 6807 9076 11345 11437 13614 22690 22874 27228 29497 34035 34311 45380 45748 57185 58994 68070 68622 88491 114370 117988 136140 137244 147485 148681 171555 176982 228740 294970 297362 343110 353964 442455 446043 589940 594724 686220 743405 884910 892086 1486810 1769820 1784172 2230215 2973620 4460430 8920860 25950553 51901106 77851659 103802212 129752765 155703318 259505530 311406636 337357189 389258295 519011060 674714378 778516590 1012071567 1349428756 1557033180 1686785945 2024143134 3373571890 4048286268 5060357835 6747143780 10120715670 20241431340