Search a number
-
+
12401568 = 2532172149
BaseRepresentation
bin101111010011…
…101110100000
3212100001202100
4233103232200
511133322233
61121450400
7210261114
oct57235640
925301670
1012401568
117000533
1241a0a00
132752a0a
14190b744
15114e813
hexbd3ba0

12401568 has 108 divisors (see below), whose sum is σ = 37714950. Its totient is φ = 3864576.

The previous prime is 12401563. The next prime is 12401569. The reversal of 12401568 is 86510421.

It can be written as a sum of positive squares in 3 ways, for example, as 11209104 + 1192464 = 3348^2 + 1092^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (12401563) 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 17 ways as a sum of consecutive naturals, for example, 83158 + ... + 83306.

Almost surely, 212401568 is an apocalyptic number.

12401568 is a gapful number since it is divisible by the number (18) 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 12401568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857475).

12401568 is an abundant number, since it is smaller than the sum of its proper divisors (25313382).

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

12401568 is a wasteful number, since it uses less digits than its factorization.

12401568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12401568 is about 3521.5860063329. The cubic root of 12401568 is about 231.4686611587.

Adding to 12401568 its reverse (86510421), we get a palindrome (98911989).

The spelling of 12401568 in words is "twelve million, four hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 149 153 204 272 288 289 298 306 408 447 544 578 596 612 816 867 894 1156 1192 1224 1341 1632 1734 1788 2312 2384 2448 2533 2601 2682 3468 3576 4624 4768 4896 5066 5202 5364 6936 7152 7599 9248 10132 10404 10728 13872 14304 15198 20264 20808 21456 22797 27744 30396 40528 41616 42912 43061 45594 60792 81056 83232 86122 91188 121584 129183 172244 182376 243168 258366 344488 364752 387549 516732 688976 729504 775098 1033464 1377952 1550196 2066928 3100392 4133856 6200784 12401568