Search a number
-
+
11369064 = 2337313759
BaseRepresentation
bin101011010111…
…101001101000
3210101121102110
4223113221220
510402302224
61043402320
7165430650
oct53275150
923347373
1011369064
116465823
1239833a0
132480a75
14171d360
15ee8929
hexad7a68

11369064 has 128 divisors (see below), whose sum is σ = 35020800. Its totient is φ = 3006720.

The previous prime is 11369063. The next prime is 11369077. The reversal of 11369064 is 46096311.

It is not an unprimeable number, because it can be changed into a prime (11369063) 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 31 ways as a sum of consecutive naturals, for example, 192667 + ... + 192725.

It is an arithmetic number, because the mean of its divisors is an integer number (273600).

Almost surely, 211369064 is an apocalyptic number.

11369064 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 11369064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510400).

11369064 is an abundant number, since it is smaller than the sum of its proper divisors (23651736).

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

11369064 is a wasteful number, since it uses less digits than its factorization.

11369064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 11369064 is about 3371.8042647817. The cubic root of 11369064 is about 224.8579448994.

The spelling of 11369064 in words is "eleven million, three hundred sixty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 37 42 56 59 62 74 84 93 111 118 124 148 168 177 186 217 222 236 248 259 296 354 372 413 434 444 472 518 651 708 744 777 826 868 888 1036 1147 1239 1302 1416 1554 1652 1736 1829 2072 2183 2294 2478 2604 3108 3304 3441 3658 4366 4588 4956 5208 5487 6216 6549 6882 7316 8029 8732 9176 9912 10974 12803 13098 13764 14632 15281 16058 17464 21948 24087 25606 26196 27528 30562 32116 38409 43896 45843 48174 51212 52392 61124 64232 67673 76818 91686 96348 102424 122248 135346 153636 183372 192696 203019 270692 307272 366744 406038 473711 541384 812076 947422 1421133 1624152 1894844 2842266 3789688 5684532 11369064