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5200405240 = 2354710312683
BaseRepresentation
bin1001101011111011…
…11110001011111000
3111102102110221212111
410311331332023320
541122300431430
62220010422104
7242604500212
oct46575761370
914372427774
105200405240
112229547478
121011731934
1364b528484
1437494b5b2
15206840c2a
hex135f7e2f8

5200405240 has 64 divisors (see below), whose sum is σ = 11965916160. Its totient is φ = 2033170560.

The previous prime is 5200405237. The next prime is 5200405253. The reversal of 5200405240 is 425040025.

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, 1936939 + ... + 1939621.

It is an arithmetic number, because the mean of its divisors is an integer number (186967440).

Almost surely, 25200405240 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 5200405240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982958080).

5200405240 is an abundant number, since it is smaller than the sum of its proper divisors (6765510920).

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

5200405240 is a wasteful number, since it uses less digits than its factorization.

5200405240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 5200405240 is about 72113.8352883828. The cubic root of 5200405240 is about 1732.5232139660.

Adding to 5200405240 its reverse (425040025), we get a palindrome (5625445265).

The spelling of 5200405240 in words is "five billion, two hundred million, four hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1031 1880 2062 2683 4124 5155 5366 8248 10310 10732 13415 20620 21464 26830 41240 48457 53660 96914 107320 126101 193828 242285 252202 387656 484570 504404 630505 969140 1008808 1261010 1938280 2522020 2766173 5044040 5532346 11064692 13830865 22129384 27661730 55323460 110646920 130010131 260020262 520040524 650050655 1040081048 1300101310 2600202620 5200405240