[go: up one dir, main page]

Search a number
-
+
11016306 = 23271737139
BaseRepresentation
bin101010000001…
…100001110010
3202201200112100
4222001201302
510310010211
61032041230
7162431340
oct52014162
922650470
1011016306
116244794
123833216
132389332
14166a990
15e79156
hexa81872

11016306 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 2861568.

The previous prime is 11016301. The next prime is 11016311. The reversal of 11016306 is 60361011.

It is an interprime number because it is at equal distance from previous prime (11016301) and next prime (11016311).

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

It is not an unprimeable number, because it can be changed into a prime (11016301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79185 + ... + 79323.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 211016306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11016306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

11016306 is an abundant number, since it is smaller than the sum of its proper divisors (18860814).

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

11016306 is a wasteful number, since it uses less digits than its factorization.

11016306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11016306 is about 3319.0821020276. The cubic root of 11016306 is about 222.5078463757.

Adding to 11016306 its reverse (60361011), we get a palindrome (71377317).

It can be divided in two parts, 11016 and 306, that multiplied together give a square (3370896 = 18362).

The spelling of 11016306 in words is "eleven million, sixteen thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 37 42 51 63 74 102 111 119 126 139 153 222 238 259 278 306 333 357 417 518 629 666 714 777 834 973 1071 1251 1258 1554 1887 1946 2142 2331 2363 2502 2919 3774 4403 4662 4726 5143 5661 5838 7089 8757 8806 10286 11322 13209 14178 15429 16541 17514 21267 26418 30858 33082 36001 39627 42534 46287 49623 72002 79254 87431 92574 99246 108003 148869 174862 216006 262293 297738 324009 524586 612017 648018 786879 1224034 1573758 1836051 3672102 5508153 11016306