Search a number
-
+
12104274 = 2372133167
BaseRepresentation
bin101110001011…
…001001010010
3211202221221110
4232023021102
511044314044
61111234150
7204612300
oct56131122
924687843
1012104274
116918136
124078956
13267a5c0
141871270
1510e16b9
hexb8b252

12104274 has 48 divisors (see below), whose sum is σ = 30336768. Its totient is φ = 3191328.

The previous prime is 12104249. The next prime is 12104297. The reversal of 12104274 is 47240121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12104274.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2239 + ... + 5405.

It is an arithmetic number, because the mean of its divisors is an integer number (632016).

Almost surely, 212104274 is an apocalyptic number.

12104274 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 12104274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168384).

12104274 is an abundant number, since it is smaller than the sum of its proper divisors (18232494).

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

12104274 is a wasteful number, since it uses less digits than its factorization.

12104274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 12104274 is about 3479.1197162501. The cubic root of 12104274 is about 229.6040699259.

Adding to 12104274 its reverse (47240121), we get a palindrome (59344395).

The spelling of 12104274 in words is "twelve million, one hundred four thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3167 3822 6334 9501 19002 22169 41171 44338 66507 82342 123513 133014 155183 247026 288197 310366 465549 576394 864591 931098 1729182 2017379 4034758 6052137 12104274