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1030444220 = 225135217607
BaseRepresentation
bin111101011010110…
…101010010111100
32122210221222201202
4331122311102330
54102243203340
6250125555032
734351426361
oct7532652274
92583858652
101030444220
11489727aa3
12249115a78
13135639410
149abd4468
15606e6c15
hex3d6b54bc

1030444220 has 48 divisors (see below), whose sum is σ = 2335169088. Its totient is φ = 379691520.

The previous prime is 1030444213. The next prime is 1030444241. The reversal of 1030444220 is 224440301.

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 = 1030444192 and 1030444201.

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, 131657 + ... + 139263.

It is an arithmetic number, because the mean of its divisors is an integer number (48649356).

Almost surely, 21030444220 is an apocalyptic number.

1030444220 is a gapful number since it is divisible by the number (10) 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 1030444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167584544).

1030444220 is an abundant number, since it is smaller than the sum of its proper divisors (1304724868).

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

1030444220 is a wasteful number, since it uses less digits than its factorization.

1030444220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1030444220 is about 32100.5330173815. The cubic root of 1030444220 is about 1010.0467971651.

Adding to 1030444220 its reverse (224440301), we get a palindrome (1254884521).

The spelling of 1030444220 in words is "one billion, thirty million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 521 1042 2084 2605 5210 6773 7607 10420 13546 15214 27092 30428 33865 38035 67730 76070 98891 135460 152140 197782 395564 494455 988910 1977820 3963247 7926494 15852988 19816235 39632470 51522211 79264940 103044422 206088844 257611055 515222110 1030444220