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4420303420 = 22513371992309
BaseRepresentation
bin1000001110111100…
…00111101000111100
3102102001120200100111
410013132013220330
533023044202140
62010342235404
7214352646661
oct40736075074
912361520314
104420303420
111969167425
12a34425b64
13555a21570
142dd0c1a68
151ad0e97ea
hex107787a3c

4420303420 has 96 divisors (see below), whose sum is σ = 10322928000. Its totient is φ = 1579336704.

The previous prime is 4420303409. The next prime is 4420303441. The reversal of 4420303420 is 243030244.

It is a junction number, because it is equal to n+sod(n) for n = 4420303391 and 4420303400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1913226 + ... + 1915534.

It is an arithmetic number, because the mean of its divisors is an integer number (107530500).

Almost surely, 24420303420 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 4420303420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161464000).

4420303420 is an abundant number, since it is smaller than the sum of its proper divisors (5902624580).

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

4420303420 is a wasteful number, since it uses less digits than its factorization.

4420303420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4420303420 is about 66485.3624491888. The cubic root of 4420303420 is about 1641.1591324595.

Adding to 4420303420 its reverse (243030244), we get a palindrome (4663333664).

The spelling of 4420303420 in words is "four billion, four hundred twenty million, three hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 199 260 370 398 481 740 796 962 995 1924 1990 2309 2405 2587 3980 4618 4810 5174 7363 9236 9620 10348 11545 12935 14726 23090 25870 29452 30017 36815 46180 51740 60034 73630 85433 95719 120068 147260 150085 170866 191438 300170 341732 382876 427165 459491 478595 600340 854330 918982 957190 1110629 1708660 1837964 1914380 2221258 2297455 4442516 4594910 5553145 5973383 9189820 11106290 11946766 17001167 22212580 23893532 29866915 34002334 59733830 68004668 85005835 119467660 170011670 221015171 340023340 442030342 884060684 1105075855 2210151710 4420303420