Search a number
-
+
11075064 = 23371113461
BaseRepresentation
bin101010001111…
…110111111000
3202211200010120
4222033313320
510313400224
61033213240
7163064550
oct52176770
922750116
1011075064
116284950
123861220
1323a9cc0
141684160
15e8b779
hexa8fdf8

11075064 has 128 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 2649600.

The previous prime is 11075063. The next prime is 11075069. The reversal of 11075064 is 46057011.

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 (11075063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23794 + ... + 24254.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 211075064 is an apocalyptic number.

11075064 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 11075064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

11075064 is an abundant number, since it is smaller than the sum of its proper divisors (26180616).

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

11075064 is a wasteful number, since it uses less digits than its factorization.

11075064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 11075064 is about 3327.9218740830. The cubic root of 11075064 is about 222.9027440262.

The spelling of 11075064 in words is "eleven million, seventy-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 461 462 546 572 616 728 858 922 924 1001 1092 1144 1383 1716 1844 1848 2002 2184 2766 3003 3227 3432 3688 4004 5071 5532 5993 6006 6454 8008 9681 10142 11064 11986 12012 12908 15213 17979 19362 20284 23972 24024 25816 30426 35497 35958 38724 40568 41951 47944 60852 65923 70994 71916 77448 83902 106491 121704 125853 131846 141988 143832 167804 197769 212982 251706 263692 283976 335608 395538 425964 461461 503412 527384 791076 851928 922922 1006824 1384383 1582152 1845844 2768766 3691688 5537532 11075064