Search a number
-
+
24161220 = 22335101443
BaseRepresentation
bin101110000101…
…0101111000100
31200110111222000
41130022233010
522141124340
62221505300
7412236606
oct134125704
950414860
1024161220
1112702756
128112230
13500c4a5
1432cd176
1521c3d30
hex170abc4

24161220 has 96 divisors (see below), whose sum is σ = 76083840. Its totient is φ = 6364800.

The previous prime is 24161197. The next prime is 24161231. The reversal of 24161220 is 2216142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 24161193 and 24161202.

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, 54319 + ... + 54761.

It is an arithmetic number, because the mean of its divisors is an integer number (792540).

Almost surely, 224161220 is an apocalyptic number.

24161220 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 24161220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38041920).

24161220 is an abundant number, since it is smaller than the sum of its proper divisors (51922620).

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

24161220 is a wasteful number, since it uses less digits than its factorization.

24161220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 24161220 is about 4915.4063921511. The cubic root of 24161220 is about 289.0943606177.

Adding to 24161220 its reverse (2216142), we get a palindrome (26377362).

The spelling of 24161220 in words is "twenty-four million, one hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 443 505 540 606 886 909 1010 1212 1329 1515 1772 1818 2020 2215 2658 2727 3030 3636 3987 4430 4545 5316 5454 6060 6645 7974 8860 9090 10908 11961 13290 13635 15948 18180 19935 23922 26580 27270 39870 44743 47844 54540 59805 79740 89486 119610 134229 178972 223715 239220 268458 402687 447430 536916 671145 805374 894860 1208061 1342290 1610748 2013435 2416122 2684580 4026870 4832244 6040305 8053740 12080610 24161220