Search a number
-
+
1130443220 = 2251712132741
BaseRepresentation
bin100001101100001…
…0011000111010100
32220210010110120102
41003120103013110
54303343140340
6304101153232
740004415554
oct10330230724
92823113512
101130443220
115301187a5
122766bb818
1315027c61a
14aa1c5164
156939b215
hex436131d4

1130443220 has 48 divisors (see below), whose sum is σ = 2516563728. Its totient is φ = 425072640.

The previous prime is 1130443219. The next prime is 1130443243. The reversal of 1130443220 is 223440311.

It can be written as a sum of positive squares in 8 ways, for example, as 111429136 + 1019014084 = 10556^2 + 31922^2 .

It is a super-3 number, since 3×11304432203 (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1130443192 and 1130443201.

It is a congruent number.

It is an unprimeable number.

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, 411050 + ... + 413790.

It is an arithmetic number, because the mean of its divisors is an integer number (52428411).

Almost surely, 21130443220 is an apocalyptic number.

1130443220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130443220 is an abundant number, since it is smaller than the sum of its proper divisors (1386120508).

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

1130443220 is a wasteful number, since it uses less digits than its factorization.

1130443220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1130443220 is about 33622.0644815276. The cubic root of 1130443220 is about 1041.7165992349.

Adding to 1130443220 its reverse (223440311), we get a palindrome (1353883531).

The spelling of 1130443220 in words is "one billion, one hundred thirty million, four hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1213 2426 2741 4852 5482 6065 10964 12130 13705 20621 24260 27410 41242 46597 54820 82484 93194 103105 186388 206210 232985 412420 465970 931940 3324833 6649666 13299332 16624165 33248330 56522161 66496660 113044322 226088644 282610805 565221610 1130443220