Search a number
-
+
5003303360 = 265111817853
BaseRepresentation
bin1001010100011100…
…00101100111000000
3110220200121010220212
410222032011213000
540221321201420
62144250053252
7234662243156
oct45216054700
913820533825
105003303360
112138263960
12b7771a228
13619747343
143566c13d6
151e43aa3c5
hex12a3859c0

5003303360 has 112 divisors (see below), whose sum is σ = 13070689632. Its totient is φ = 1809100800.

The previous prime is 5003303353. The next prime is 5003303369. The reversal of 5003303360 is 633033005.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003303369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633194 + ... + 641046.

It is an arithmetic number, because the mean of its divisors is an integer number (116702586).

Almost surely, 25003303360 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 5003303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535344816).

5003303360 is an abundant number, since it is smaller than the sum of its proper divisors (8067386272).

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

5003303360 is a wasteful number, since it uses less digits than its factorization.

5003303360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 23.

The square root of 5003303360 is about 70734.0325444549. The cubic root of 5003303360 is about 1710.3524415185.

Adding to 5003303360 its reverse (633033005), we get a palindrome (5636336365).

The spelling of 5003303360 in words is "five billion, three million, three hundred three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 181 220 320 352 362 440 704 724 880 905 1448 1760 1810 1991 2896 3520 3620 3982 5792 7240 7853 7964 9955 11584 14480 15706 15928 19910 28960 31412 31856 39265 39820 57920 62824 63712 78530 79640 86383 125648 127424 157060 159280 172766 251296 314120 318560 345532 431915 502592 628240 637120 691064 863830 1256480 1382128 1421393 1727660 2512960 2764256 2842786 3455320 5528512 5685572 6910640 7106965 11371144 13821280 14213930 15635323 22742288 27642560 28427860 31270646 45484576 56855720 62541292 78176615 90969152 113711440 125082584 156353230 227422880 250165168 312706460 454845760 500330336 625412920 1000660672 1250825840 2501651680 5003303360