Search a number
-
+
11053248 = 263232503
BaseRepresentation
bin101010001010…
…100011000000
3202210120012120
4222022203000
510312200443
61032524240
7162644133
oct52124300
922716176
1011053248
11626a518
123850680
1323a00ab
14167a21a
15e85083
hexa8a8c0

11053248 has 56 divisors (see below), whose sum is σ = 30528768. Its totient is φ = 3522816.

The previous prime is 11053243. The next prime is 11053249. The reversal of 11053248 is 84235011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11053241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3165 + ... + 5667.

Almost surely, 211053248 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 11053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264384).

11053248 is an abundant number, since it is smaller than the sum of its proper divisors (19475520).

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

11053248 is a wasteful number, since it uses less digits than its factorization.

11053248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 11053248 is about 3324.6425371760. The cubic root of 11053248 is about 222.7562876037.

Adding to 11053248 its reverse (84235011), we get a palindrome (95288259).

The spelling of 11053248 in words is "eleven million, fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 2503 4416 5006 7509 10012 15018 20024 30036 40048 57569 60072 80096 115138 120144 160192 172707 230276 240288 345414 460552 480576 690828 921104 1381656 1842208 2763312 3684416 5526624 11053248