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11053984 = 25232653
BaseRepresentation
bin101010001010…
…101110100000
3202210121012211
4222022232200
510312211414
61032531504
7162646234
oct52125640
922717184
1011053984
116270027
123850b94
1323a0526
14167a5c4
15e853c4
hexa8aba0

11053984 has 36 divisors (see below), whose sum is σ = 22784706. Its totient is φ = 5278592.

The previous prime is 11053981. The next prime is 11053997. The reversal of 11053984 is 48935011.

It can be written as a sum of positive squares in only one way, i.e., 10368400 + 685584 = 3220^2 + 828^2 .

It is not an unprimeable number, because it can be changed into a prime (11053981) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16602 + ... + 17254.

Almost surely, 211053984 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 11053984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392353).

11053984 is an abundant number, since it is smaller than the sum of its proper divisors (11730722).

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

11053984 is an equidigital number, since it uses as much as digits as its factorization.

11053984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 11053984 is about 3324.7532239250. The cubic root of 11053984 is about 222.7612317006.

Adding to 11053984 its reverse (48935011), we get a palindrome (59988995).

The spelling of 11053984 in words is "eleven million, fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 653 736 1058 1306 2116 2612 4232 5224 8464 10448 15019 16928 20896 30038 60076 120152 240304 345437 480608 690874 1381748 2763496 5526992 11053984