Search a number
-
+
1030224 = 243132127
BaseRepresentation
bin11111011100001010000
31221100012110
43323201100
5230431344
634025320
711520366
oct3734120
91840173
101030224
11644028
12418240
132a0c00
141cb636
151553b9
hexfb850

1030224 has 60 divisors (see below), whose sum is σ = 2904576. Its totient is φ = 314496.

The previous prime is 1030219. The next prime is 1030241. The reversal of 1030224 is 4220301.

1030224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 10152-1.

It is a super-2 number, since 2×10302242 = 2122722980352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8049 + ... + 8175.

21030224 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 1030224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452288).

1030224 is an abundant number, since it is smaller than the sum of its proper divisors (1874352).

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

1030224 is a wasteful number, since it uses less digits than its factorization.

1030224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1030224 is about 1014.9995073890. Note that the first 3 decimals coincide. The cubic root of 1030224 is about 100.9974838441.

Adding to 1030224 its reverse (4220301), we get a palindrome (5250525).

The spelling of 1030224 in words is "one million, thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 169 208 254 312 338 381 507 508 624 676 762 1014 1016 1352 1524 1651 2028 2032 2704 3048 3302 4056 4953 6096 6604 8112 9906 13208 19812 21463 26416 39624 42926 64389 79248 85852 128778 171704 257556 343408 515112 1030224