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1030248 = 233241349
BaseRepresentation
bin11111011100001101000
31221100020100
43323201220
5230431443
634025400
711520432
oct3734150
91840210
101030248
1164404a
12418260
132a0c1b
141cb652
151553d3
hexfb868

1030248 has 48 divisors (see below), whose sum is σ = 2866500. Its totient is φ = 334080.

The previous prime is 1030247. The next prime is 1030291. The reversal of 1030248 is 8420301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1004004 + 26244 = 1002^2 + 162^2 .

It is a super-2 number, since 2×10302482 = 2122821883008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1030248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2778 + ... + 3126.

21030248 is an apocalyptic number.

1030248 is a gapful number since it is divisible by the number (18) 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 1030248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433250).

1030248 is an abundant number, since it is smaller than the sum of its proper divisors (1836252).

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

1030248 is a wasteful number, since it uses less digits than its factorization.

1030248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1030248 is about 1015.0113299860. The cubic root of 1030248 is about 100.9982681139.

Adding to 1030248 its reverse (8420301), we get a palindrome (9450549).

The spelling of 1030248 in words is "one million, thirty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 349 369 492 698 738 984 1047 1396 1476 2094 2792 2952 3141 4188 6282 8376 12564 14309 25128 28618 42927 57236 85854 114472 128781 171708 257562 343416 515124 1030248