Search a number
-
+
11390064 = 2437109311
BaseRepresentation
bin101011011100…
…110001110000
3210102200020020
4223130301300
510403440224
61044043440
7165546120
oct53346160
923380206
1011390064
11647a584
123993580
13248a4aa
141726c80
15eeec79
hexadcc70

11390064 has 80 divisors (see below), whose sum is σ = 34045440. Its totient is φ = 3214080.

The previous prime is 11390059. The next prime is 11390089. The reversal of 11390064 is 46009311.

11390064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36469 + ... + 36779.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 211390064 is an apocalyptic number.

11390064 is a gapful number since it is divisible by the number (14) 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 11390064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17022720).

11390064 is an abundant number, since it is smaller than the sum of its proper divisors (22655376).

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

11390064 is a wasteful number, since it uses less digits than its factorization.

11390064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 11390064 is about 3374.9168878655. The cubic root of 11390064 is about 224.9963061122.

Adding to 11390064 its reverse (46009311), we get a palindrome (57399375).

The spelling of 11390064 in words is "eleven million, three hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 311 327 336 436 622 654 763 872 933 1244 1308 1526 1744 1866 2177 2289 2488 2616 3052 3732 4354 4578 4976 5232 6104 6531 7464 8708 9156 12208 13062 14928 17416 18312 26124 33899 34832 36624 52248 67798 101697 104496 135596 203394 237293 271192 406788 474586 542384 711879 813576 949172 1423758 1627152 1898344 2847516 3796688 5695032 11390064