Search a number
-
+
12395201 = 7131967107
BaseRepresentation
bin101111010010…
…001011000001
3212022202000112
4233102023001
511133121301
61121401105
7210233420
oct57221301
925282015
1012395201
116aa6775
124199195
13274cb50
1419092b7
15114c9bb
hexbd22c1

12395201 has 32 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 9066816.

The previous prime is 12395189. The next prime is 12395219. The reversal of 12395201 is 10259321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12395201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12395221) 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 31 ways as a sum of consecutive naturals, for example, 115790 + ... + 115896.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 212395201 is an apocalyptic number.

12395201 is the 2033-rd octagonal number.

It is an amenable number.

12395201 is a deficient number, since it is larger than the sum of its proper divisors (4055359).

12395201 is a wasteful number, since it uses less digits than its factorization.

12395201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 12395201 is about 3520.6818941790. The cubic root of 12395201 is about 231.4290421565.

The spelling of 12395201 in words is "twelve million, three hundred ninety-five thousand, two hundred one".

Divisors: 1 7 13 19 67 91 107 133 247 469 749 871 1273 1391 1729 2033 6097 7169 8911 9737 14231 16549 26429 50183 93197 115843 136211 185003 652379 953477 1770743 12395201