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11054304 = 2532131293
BaseRepresentation
bin101010001010…
…110011100000
3202210121122200
4222022303200
510312214204
61032533200
7162650202
oct52126340
922717580
1011054304
116270298
123851200
1323a0711
14167a772
15e85539
hexa8ace0

11054304 has 72 divisors (see below), whose sum is σ = 31783752. Its totient is φ = 3644160.

The previous prime is 11054287. The next prime is 11054327. The reversal of 11054304 is 40345011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37582 + ... + 37874.

It is an arithmetic number, because the mean of its divisors is an integer number (441441).

Almost surely, 211054304 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 11054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891876).

11054304 is an abundant number, since it is smaller than the sum of its proper divisors (20729448).

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

11054304 is a wasteful number, since it uses less digits than its factorization.

11054304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 11054304 is about 3324.8013474492. The cubic root of 11054304 is about 222.7633812395.

Adding to 11054304 its reverse (40345011), we get a palindrome (51399315).

The spelling of 11054304 in words is "eleven million, fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 293 393 524 586 786 879 1048 1172 1179 1572 1758 2096 2344 2358 2637 3144 3516 4192 4688 4716 5274 6288 7032 9376 9432 10548 12576 14064 18864 21096 28128 37728 38383 42192 76766 84384 115149 153532 230298 307064 345447 460596 614128 690894 921192 1228256 1381788 1842384 2763576 3684768 5527152 11054304