Search a number
-
+
12146381 = 131725361
BaseRepresentation
bin101110010101…
…011011001101
3211212002200222
4232111123031
511102141011
61112201125
7205146122
oct56253315
924762628
1012146381
116946835
1240991a5
132693810
141882749
1510edddb
hexb956cd

12146381 has 24 divisors (see below), whose sum is σ = 14389704. Its totient is φ = 10183680.

The previous prime is 12146357. The next prime is 12146383. The reversal of 12146381 is 18364121.

It can be written as a sum of positive squares in 12 ways, for example, as 2592100 + 9554281 = 1610^2 + 3091^2 .

It is not a de Polignac number, because 12146381 - 26 = 12146317 is a prime.

It is a super-3 number, since 3×121463813 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

Its product of digits (1152) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 12146381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12146383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199091 + ... + 199151.

It is an arithmetic number, because the mean of its divisors is an integer number (599571).

Almost surely, 212146381 is an apocalyptic number.

It is an amenable number.

12146381 is a deficient number, since it is larger than the sum of its proper divisors (2243323).

12146381 is a wasteful number, since it uses less digits than its factorization.

12146381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 12146381 is about 3485.1658497122. The cubic root of 12146381 is about 229.8700021524.

The spelling of 12146381 in words is "twelve million, one hundred forty-six thousand, three hundred eighty-one".

Divisors: 1 13 17 53 61 221 289 689 793 901 1037 3233 3757 11713 13481 15317 17629 42029 54961 199121 229177 714493 934337 12146381