Search a number
-
+
4503206420 = 2252959313093
BaseRepresentation
bin1000011000110100…
…10111101000010100
3102121211120120212222
410030122113220110
533210310101140
62022503201512
7216410423456
oct41432275024
912554516788
104503206420
111a00a406a9
12a58146298
13569c5a0ab
1430a1022d6
151b55235b5
hex10c697a14

4503206420 has 48 divisors (see below), whose sum is σ = 9800073360. Its totient is φ = 1736103936.

The previous prime is 4503206399. The next prime is 4503206431. The reversal of 4503206420 is 246023054.

It can be written as a sum of positive squares in 8 ways, for example, as 241989136 + 4261217284 = 15556^2 + 65278^2 .

It is a super-2 number, since 2×45032064202 = 40557736122258432800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4503206420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337394 + ... + 350486.

It is an arithmetic number, because the mean of its divisors is an integer number (204168195).

Almost surely, 24503206420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4503206420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900036680).

4503206420 is an abundant number, since it is smaller than the sum of its proper divisors (5296866940).

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

4503206420 is a wasteful number, since it uses less digits than its factorization.

4503206420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13724 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 4503206420 is about 67105.9343128460. The cubic root of 4503206420 is about 1651.3556560003.

Adding to 4503206420 its reverse (246023054), we get a palindrome (4749229474).

The spelling of 4503206420 in words is "four billion, five hundred three million, two hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 593 1186 2372 2965 5930 11860 13093 17197 26186 34394 52372 65465 68788 85985 130930 171970 261860 343940 379697 759394 1518788 1898485 3796970 7593940 7764149 15528298 31056596 38820745 77641490 155282980 225160321 450320642 900641284 1125801605 2251603210 4503206420