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11047296 = 273132213
BaseRepresentation
bin101010001001…
…000110000000
3202210021001010
4222021012000
510312003141
61032440520
7162620601
oct52110600
922707033
1011047296
116265aa7
123849140
13239a480
141677da8
15e83416
hexa89180

11047296 has 64 divisors (see below), whose sum is σ = 31615920. Its totient is φ = 3397632.

The previous prime is 11047277. The next prime is 11047301. The reversal of 11047296 is 69274011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3886 + ... + 6098.

Almost surely, 211047296 is an apocalyptic number.

11047296 is a gapful number since it is divisible by the number (16) 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 11047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807960).

11047296 is an abundant number, since it is smaller than the sum of its proper divisors (20568624).

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

11047296 is a wasteful number, since it uses less digits than its factorization.

11047296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 11047296 is about 3323.7472828120. The cubic root of 11047296 is about 222.7162968403.

The spelling of 11047296 in words is "eleven million, forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2213 2496 4426 4992 6639 8852 13278 17704 26556 28769 35408 53112 57538 70816 86307 106224 115076 141632 172614 212448 230152 283264 345228 424896 460304 690456 849792 920608 1380912 1841216 2761824 3682432 5523648 11047296