Search a number
-
+
1821248 = 261113199
BaseRepresentation
bin110111100101001000000
310102112021122
412330221000
5431234443
6103011412
721323522
oct6745100
93375248
101821248
111034370
12739b68
134b9c80
14355a12
1525e968
hex1bca40

1821248 has 56 divisors (see below), whose sum is σ = 4267200. Its totient is φ = 760320.

The previous prime is 1821233. The next prime is 1821257. The reversal of 1821248 is 8421281.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9053 + ... + 9251.

It is an arithmetic number, because the mean of its divisors is an integer number (76200).

21821248 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 1821248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133600).

1821248 is an abundant number, since it is smaller than the sum of its proper divisors (2445952).

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

1821248 is a wasteful number, since it uses less digits than its factorization.

1821248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 1821248 is about 1349.5362166315. The cubic root of 1821248 is about 122.1208155504.

The spelling of 1821248 in words is "one million, eight hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 199 208 286 352 398 416 572 704 796 832 1144 1592 2189 2288 2587 3184 4378 4576 5174 6368 8756 9152 10348 12736 17512 20696 28457 35024 41392 56914 70048 82784 113828 140096 165568 227656 455312 910624 1821248