Search a number
-
+
12142386 = 234174409
BaseRepresentation
bin101110010100…
…011100110010
3211211220020000
4232110130302
511102024021
61112130430
7205131354
oct56243462
924756200
1012142386
116943833
124096a16
132691a59
1418810d4
1510ecb26
hexb94732

12142386 has 40 divisors (see below), whose sum is σ = 28814940. Its totient is φ = 3808512.

The previous prime is 12142381. The next prime is 12142393. The reversal of 12142386 is 68324121.

12142386 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12006225 + 136161 = 3465^2 + 369^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12142381) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 550 + ... + 4958.

Almost surely, 212142386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14407470).

12142386 is an abundant number, since it is smaller than the sum of its proper divisors (16672554).

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

12142386 is a wasteful number, since it uses less digits than its factorization.

12142386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4431 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12142386 is about 3484.5926591210. The cubic root of 12142386 is about 229.8447976255.

It can be divided in two parts, 1214 and 2386, that added together give a square (3600 = 602).

The spelling of 12142386 in words is "twelve million, one hundred forty-two thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 4409 8818 13227 26454 39681 74953 79362 119043 149906 224859 238086 357129 449718 674577 714258 1349154 2023731 4047462 6071193 12142386