Search a number
-
+
5023310240 = 2551322710639
BaseRepresentation
bin1001010110110100…
…11010000110100000
3110222002020121012102
410223122122012200
540241431411430
62150242545532
7235324301234
oct45332320640
913862217172
105023310240
112148589373
12b823682a8
13620930930
1435920c5c4
151e600d345
hex12b69a1a0

5023310240 has 96 divisors (see below), whose sum is σ = 12837968640. Its totient is φ = 1846416384.

The previous prime is 5023310233. The next prime is 5023310317. The reversal of 5023310240 is 420133205.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 466841 + ... + 477479.

It is an arithmetic number, because the mean of its divisors is an integer number (133728840).

Almost surely, 25023310240 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 5023310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418984320).

5023310240 is an abundant number, since it is smaller than the sum of its proper divisors (7814658400).

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

5023310240 is a wasteful number, since it uses less digits than its factorization.

5023310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10894 (or 10886 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5023310240 is about 70875.3147435692. The cubic root of 5023310240 is about 1712.6291577866.

Adding to 5023310240 its reverse (420133205), we get a palindrome (5443443445).

The spelling of 5023310240 in words is "five billion, twenty-three million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 227 260 416 454 520 908 1040 1135 1816 2080 2270 2951 3632 4540 5902 7264 9080 10639 11804 14755 18160 21278 23608 29510 36320 42556 47216 53195 59020 85112 94432 106390 118040 138307 170224 212780 236080 276614 340448 425560 472160 553228 691535 851120 1106456 1383070 1702240 2212912 2415053 2766140 4425824 4830106 5532280 9660212 11064560 12075265 19320424 22129120 24150530 31395689 38640848 48301060 62791378 77281696 96602120 125582756 156978445 193204240 251165512 313956890 386408480 502331024 627913780 1004662048 1255827560 2511655120 5023310240