Search a number
-
+
4113226560 = 263520532087
BaseRepresentation
bin1111010100101010…
…1101101101000000
3101121122202120002110
43311022231231000
531410441222220
61520052415320
7203633564112
oct36512555500
911548676073
104113226560
111820899aa3
12969617540
13507216591
142b03c93b2
1519118dbe0
hexf52adb40

4113226560 has 112 divisors (see below), whose sum is σ = 13072116096. Its totient is φ = 1095800832.

The previous prime is 4113226553. The next prime is 4113226591. The reversal of 4113226560 is 656223114.

4113226560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1969837 + ... + 1971923.

Almost surely, 24113226560 is an apocalyptic number.

4113226560 is a gapful number since it is divisible by the number (40) 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 4113226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536058048).

4113226560 is an abundant number, since it is smaller than the sum of its proper divisors (8958889536).

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

4113226560 is a wasteful number, since it uses less digits than its factorization.

4113226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4113226560 is about 64134.4412932708. The cubic root of 4113226560 is about 1602.2399044709.

Adding to 4113226560 its reverse (656223114), we get a palindrome (4769449674).

The spelling of 4113226560 in words is "four billion, one hundred thirteen million, two hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2053 2087 4106 4174 6159 6261 8212 8348 10265 10435 12318 12522 16424 16696 20530 20870 24636 25044 30795 31305 32848 33392 41060 41740 49272 50088 61590 62610 65696 66784 82120 83480 98544 100176 123180 125220 131392 133568 164240 166960 197088 200352 246360 250440 328480 333920 394176 400704 492720 500880 656960 667840 985440 1001760 1970880 2003520 4284611 8569222 12853833 17138444 21423055 25707666 34276888 42846110 51415332 64269165 68553776 85692220 102830664 128538330 137107552 171384440 205661328 257076660 274215104 342768880 411322656 514153320 685537760 822645312 1028306640 1371075520 2056613280 4113226560