Search a number
-
+
11464022020 = 225111923119243
BaseRepresentation
bin10101010110100111…
…10001100000000100
31002120221120122210011
422223103301200010
5141434242201040
65133321440004
7554042402503
oct125323614004
932527518704
1011464022020
114953161470
12227b340004
1311090c37a9
147aa77c83a
1547169c3ea
hex2ab4f1804

11464022020 has 96 divisors (see below), whose sum is σ = 28847508480. Its totient is φ = 3777586560.

The previous prime is 11464021969. The next prime is 11464022027. The reversal of 11464022020 is 2022046411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11464021982 and 11464022000.

It is not an unprimeable number, because it can be changed into a prime (11464022027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36519 + ... + 155761.

It is an arithmetic number, because the mean of its divisors is an integer number (300494880).

Almost surely, 211464022020 is an apocalyptic number.

11464022020 is a gapful number since it is divisible by the number (10) 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 11464022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423754240).

11464022020 is an abundant number, since it is smaller than the sum of its proper divisors (17383486460).

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

11464022020 is a wasteful number, since it uses less digits than its factorization.

11464022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119305 (or 119303 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11464022020 its reverse (2022046411), we get a palindrome (13486068431).

The spelling of 11464022020 in words is "eleven billion, four hundred sixty-four million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 836 874 1012 1045 1265 1748 2090 2185 2530 4180 4370 4807 5060 8740 9614 19228 24035 48070 96140 119243 238486 476972 596215 1192430 1311673 2265617 2384860 2623346 2742589 4531234 5246692 5485178 6558365 9062468 10970356 11328085 13116730 13712945 22656170 24921787 26233460 27425890 30168479 45312340 49843574 52109191 54851780 60336958 99687148 104218382 120673916 124608935 150842395 208436764 249217870 260545955 301684790 498435740 521091910 573201101 603369580 1042183820 1146402202 2292804404 2866005505 5732011010 11464022020