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12116034 = 2337219241
BaseRepresentation
bin101110001110…
…000001000010
3211210120002000
4232032001002
511100203114
61111404430
7204661500
oct56160102
924716060
1012116034
116925a57
124083716
132682a68
141875670
1510e4e09
hexb8e042

12116034 has 96 divisors (see below), whose sum is σ = 33105600. Its totient is φ = 3265920.

The previous prime is 12116023. The next prime is 12116077. The reversal of 12116034 is 43061121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12115998 and 12116016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50154 + ... + 50394.

It is an arithmetic number, because the mean of its divisors is an integer number (344850).

Almost surely, 212116034 is an apocalyptic number.

12116034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12116034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16552800).

12116034 is an abundant number, since it is smaller than the sum of its proper divisors (20989566).

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

12116034 is a wasteful number, since it uses less digits than its factorization.

12116034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12116034 is about 3480.8093886336. The cubic root of 12116034 is about 229.6784037214.

Adding to 12116034 its reverse (43061121), we get a palindrome (55177155).

The spelling of 12116034 in words is "twelve million, one hundred sixteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 241 266 294 342 378 399 441 482 513 723 798 882 931 1026 1197 1323 1446 1687 1862 2169 2394 2646 2793 3374 3591 4338 4579 5061 5586 6507 7182 8379 9158 10122 11809 13014 13737 15183 16758 23618 25137 27474 30366 32053 35427 41211 45549 50274 64106 70854 82422 91098 96159 106281 123633 192318 212562 224371 247266 288477 318843 448742 576954 637686 673113 865431 1346226 1730862 2019339 4038678 6058017 12116034