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11134116 = 223271723113
BaseRepresentation
bin101010011110…
…010010100100
3202221200010200
4222132102210
510322242431
61034350500
7163431660
oct52362244
922850120
1011134116
116315254
12388b430
1323cab46
14169b8a0
15e9dee6
hexa9e4a4

11134116 has 144 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 2838528.

The previous prime is 11134103. The next prime is 11134117. The reversal of 11134116 is 61143111.

11134116 = T85 + T86 + ... + T406.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98476 + ... + 98588.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 211134116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

11134116 is an abundant number, since it is smaller than the sum of its proper divisors (24718428).

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

11134116 is a wasteful number, since it uses less digits than its factorization.

11134116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 11134116 is about 3336.7822823792. The cubic root of 11134116 is about 223.2982128383.

Adding to 11134116 its reverse (61143111), we get a palindrome (72277227).

The spelling of 11134116 in words is "eleven million, one hundred thirty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 23 28 34 36 42 46 51 63 68 69 84 92 102 113 119 126 138 153 161 204 207 226 238 252 276 306 322 339 357 391 414 452 476 483 612 644 678 714 782 791 828 966 1017 1071 1173 1356 1428 1449 1564 1582 1921 1932 2034 2142 2346 2373 2599 2737 2898 3164 3519 3842 4068 4284 4692 4746 5198 5474 5763 5796 7038 7119 7684 7797 8211 9492 10396 10948 11526 13447 14076 14238 15594 16422 17289 18193 23052 23391 24633 26894 28476 31188 32844 34578 36386 40341 44183 46782 49266 53788 54579 69156 72772 80682 88366 93564 98532 109158 121023 132549 161364 163737 176732 218316 242046 265098 309281 327474 397647 484092 530196 618562 654948 795294 927843 1237124 1590588 1855686 2783529 3711372 5567058 11134116