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11296064 = 261313577
BaseRepresentation
bin101011000101…
…110101000000
3210020220021202
4223011311000
510342433224
61042040332
7165005063
oct53056500
923226252
1011296064
11641599a
1239490a8
132456780
1417008da
15ed1eae
hexac5d40

11296064 has 28 divisors (see below), whose sum is σ = 24141684. Its totient is φ = 5213184.

The previous prime is 11296031. The next prime is 11296069. The reversal of 11296064 is 46069211.

It can be written as a sum of positive squares in 2 ways, for example, as 6801664 + 4494400 = 2608^2 + 2120^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11296069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5957 + ... + 7620.

It is an arithmetic number, because the mean of its divisors is an integer number (862203).

Almost surely, 211296064 is an apocalyptic number.

It is an amenable number.

11296064 is an abundant number, since it is smaller than the sum of its proper divisors (12845620).

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

11296064 is a wasteful number, since it uses less digits than its factorization.

11296064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13602 (or 13592 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 11296064 is about 3360.9617671137. The cubic root of 11296064 is about 224.3756452057.

The spelling of 11296064 in words is "eleven million, two hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 13577 27154 54308 108616 176501 217232 353002 434464 706004 868928 1412008 2824016 5648032 11296064