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2440413220 = 225729743809
BaseRepresentation
bin1001000101110101…
…1100000000100100
320022002001211120211
42101131130000210
514444221210340
61042054305204
7114322112230
oct22135340044
96262054524
102440413220
111042605633
12581358204
132cb7985bb
1419217d5c0
15e43aa5ea
hex9175c024

2440413220 has 96 divisors (see below), whose sum is σ = 6074611200. Its totient is φ = 805776384.

The previous prime is 2440413187. The next prime is 2440413233. The reversal of 2440413220 is 223140442.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2440413191 and 2440413200.

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, 3016176 + ... + 3016984.

It is an arithmetic number, because the mean of its divisors is an integer number (63277200).

Almost surely, 22440413220 is an apocalyptic number.

2440413220 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 2440413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037305600).

2440413220 is an abundant number, since it is smaller than the sum of its proper divisors (3634197980).

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

2440413220 is a wasteful number, since it uses less digits than its factorization.

2440413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2440413220 is about 49400.5386610308. The cubic root of 2440413220 is about 1346.3390928188.

Adding to 2440413220 its reverse (223140442), we get a palindrome (2663553662).

The spelling of 2440413220 in words is "two billion, four hundred forty million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 743 809 812 1015 1486 1618 2030 2972 3236 3715 4045 4060 5201 5663 7430 8090 10402 11326 14860 16180 20804 21547 22652 23461 26005 28315 43094 46922 52010 56630 86188 93844 104020 107735 113260 117305 150829 164227 215470 234610 301658 328454 430940 469220 601087 603316 656908 754145 821135 1202174 1508290 1642270 2404348 3005435 3016580 3284540 4207609 6010870 8415218 12021740 16830436 17431523 21038045 34863046 42076090 69726092 84152180 87157615 122020661 174315230 244041322 348630460 488082644 610103305 1220206610 2440413220