Search a number
-
+
12363140 = 2254115077
BaseRepresentation
bin101111001010…
…010110000100
3212021010001002
4233022112010
511131110030
61120552432
7210041066
oct57122604
925233032
1012363140
116a84679
124182718
13273b38a
1418db736
151143245
hexbca584

12363140 has 24 divisors (see below), whose sum is σ = 26597592. Its totient is φ = 4824320.

The previous prime is 12363139. The next prime is 12363149. The reversal of 12363140 is 4136321.

It can be written as a sum of positive squares in 4 ways, for example, as 857476 + 11505664 = 926^2 + 3392^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12363149) 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 7 ways as a sum of consecutive naturals, for example, 6719 + ... + 8358.

It is an arithmetic number, because the mean of its divisors is an integer number (1108233).

Almost surely, 212363140 is an apocalyptic number.

12363140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12363140 is an abundant number, since it is smaller than the sum of its proper divisors (14234452).

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

12363140 is a wasteful number, since it uses less digits than its factorization.

12363140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15127 (or 15125 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 12363140 is about 3516.1257087880. The cubic root of 12363140 is about 231.2293344085.

Adding to 12363140 its reverse (4136321), we get a palindrome (16499461).

The spelling of 12363140 in words is "twelve million, three hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 15077 30154 60308 75385 150770 301540 618157 1236314 2472628 3090785 6181570 12363140