Search a number
-
+
12151412 = 22721319251
BaseRepresentation
bin101110010110…
…101001110100
3211212100121022
4232112221310
511102321122
61112240312
7205166600
oct56265164
924770538
1012151412
11694a599
1240a0098
132695bb0
141884500
151100642
hexb96a74

12151412 has 72 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 4536000.

The previous prime is 12151409. The next prime is 12151417. The reversal of 12151412 is 21415121.

12151412 = 83 + 93 + ... + 833.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12151417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48287 + ... + 48537.

It is an arithmetic number, because the mean of its divisors is an integer number (391020).

Almost surely, 212151412 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 12151412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).

12151412 is an abundant number, since it is smaller than the sum of its proper divisors (16002028).

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

12151412 is a wasteful number, since it uses less digits than its factorization.

12151412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its digits is 80, while the sum is 17.

The square root of 12151412 is about 3485.8875483871. The cubic root of 12151412 is about 229.9017349609.

Adding to 12151412 its reverse (21415121), we get a palindrome (33566533).

The spelling of 12151412 in words is "twelve million, one hundred fifty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 251 266 364 494 502 532 637 931 988 1004 1274 1729 1757 1862 2548 3263 3458 3514 3724 4769 6526 6916 7028 9538 12103 12299 13052 19076 22841 24206 24598 33383 45682 48412 49196 61997 66766 91364 123994 133532 159887 233681 247988 319774 433979 467362 639548 867958 934724 1735916 3037853 6075706 12151412