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11353056 = 2531113827
BaseRepresentation
bin101011010011…
…101111100000
3210100210110120
4223103233200
510401244211
61043200240
7165333201
oct53235740
923323416
1011353056
1164547a0
123976080
1324766b0
1417175a8
15ee3d06
hexad3be0

11353056 has 96 divisors (see below), whose sum is σ = 35054208. Its totient is φ = 3171840.

The previous prime is 11353049. The next prime is 11353057. The reversal of 11353056 is 65035311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11353057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13315 + ... + 14141.

It is an arithmetic number, because the mean of its divisors is an integer number (365148).

Almost surely, 211353056 is an apocalyptic number.

11353056 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 11353056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527104).

11353056 is an abundant number, since it is smaller than the sum of its proper divisors (23701152).

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

11353056 is a wasteful number, since it uses less digits than its factorization.

11353056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 11353056 is about 3369.4296253224. The cubic root of 11353056 is about 224.7523596399.

Adding to 11353056 its reverse (65035311), we get a palindrome (76388367).

It can be divided in two parts, 1135305 and 6, that added together give a palindrome (1135311).

The spelling of 11353056 in words is "eleven million, three hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 827 858 1056 1144 1248 1654 1716 2288 2481 3308 3432 4576 4962 6616 6864 9097 9924 10751 13232 13728 18194 19848 21502 26464 27291 32253 36388 39696 43004 54582 64506 72776 79392 86008 109164 118261 129012 145552 172016 218328 236522 258024 291104 344032 354783 436656 473044 516048 709566 873312 946088 1032096 1419132 1892176 2838264 3784352 5676528 11353056