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11081616 = 2437134359
BaseRepresentation
bin101010010001…
…011110010000
3202212000010020
4222101132100
510314102431
61033303440
7163122630
oct52213620
922760106
1011081616
116289867
123864b80
1323acc90
1416866c0
15e8d696
hexa91790

11081616 has 160 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 2806272.

The previous prime is 11081597. The next prime is 11081621. The reversal of 11081616 is 61618011.

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 31 ways as a sum of consecutive naturals, for example, 187795 + ... + 187853.

It is an arithmetic number, because the mean of its divisors is an integer number (229152).

Almost surely, 211081616 is an apocalyptic number.

11081616 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 11081616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

11081616 is an abundant number, since it is smaller than the sum of its proper divisors (25582704).

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

11081616 is a wasteful number, since it uses less digits than its factorization.

11081616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11081616 is about 3328.9061266428. The cubic root of 11081616 is about 222.9466917292.

Adding to 11081616 its reverse (61618011), we get a palindrome (72699627).

The spelling of 11081616 in words is "eleven million, eighty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 43 48 52 56 59 78 84 86 91 104 112 118 129 156 168 172 177 182 208 236 258 273 301 312 336 344 354 364 413 472 516 546 559 602 624 688 708 728 767 826 903 944 1032 1092 1118 1204 1239 1416 1456 1534 1652 1677 1806 2064 2184 2236 2301 2408 2478 2537 2832 3068 3304 3354 3612 3913 4368 4472 4602 4816 4956 5074 5369 6136 6608 6708 7224 7611 7826 8944 9204 9912 10148 10738 11739 12272 13416 14448 15222 15652 16107 17759 18408 19824 20296 21476 23478 26832 30444 31304 32214 32981 35518 36816 40592 42952 46956 53277 60888 62608 64428 65962 71036 85904 93912 98943 106554 121776 128856 131924 142072 187824 197886 213108 230867 257712 263848 284144 395772 426216 461734 527696 692601 791544 852432 923468 1385202 1583088 1846936 2770404 3693872 5540808 11081616