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11053296 = 2432591301
BaseRepresentation
bin101010001010…
…100011110000
3202210120021100
4222022203300
510312201141
61032524400
7162644232
oct52124360
922716240
1011053296
11626a561
123850700
1323a0117
14167a252
15e850b6
hexa8a8f0

11053296 has 60 divisors (see below), whose sum is σ = 31482360. Its totient is φ = 3619200.

The previous prime is 11053291. The next prime is 11053337. The reversal of 11053296 is 69235011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11053291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7846 + ... + 9146.

It is an arithmetic number, because the mean of its divisors is an integer number (524706).

Almost surely, 211053296 is an apocalyptic number.

11053296 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 11053296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15741180).

11053296 is an abundant number, since it is smaller than the sum of its proper divisors (20429064).

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

11053296 is a wasteful number, since it uses less digits than its factorization.

11053296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 11053296 is about 3324.6497559893. The cubic root of 11053296 is about 222.7566100515.

The spelling of 11053296 in words is "eleven million, fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1301 1416 2124 2602 2832 3903 4248 5204 7806 8496 10408 11709 15612 20816 23418 31224 46836 62448 76759 93672 153518 187344 230277 307036 460554 614072 690831 921108 1228144 1381662 1842216 2763324 3684432 5526648 11053296