Search a number
-
+
12345390 = 2325229599
BaseRepresentation
bin101111000110…
…000000101110
3212020012200200
4233012000232
511130023030
61120334330
7206635251
oct57060056
925205620
1012345390
116a72302
1241743a6
132733285
1418d5098
15113cd60
hexbc602e

12345390 has 48 divisors (see below), whose sum is σ = 32292000. Its totient is φ = 3272256.

The previous prime is 12345379. The next prime is 12345397. The reversal of 12345390 is 9354321.

12345390 is a `hidden beast` number, since 123 + 4 + 539 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345397) 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 23 ways as a sum of consecutive naturals, for example, 20311 + ... + 20909.

It is an arithmetic number, because the mean of its divisors is an integer number (672750).

Almost surely, 212345390 is an apocalyptic number.

12345390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12345390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16146000).

12345390 is an abundant number, since it is smaller than the sum of its proper divisors (19946610).

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

12345390 is a wasteful number, since it uses less digits than its factorization.

12345390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 12345390 is about 3513.6007172130. The cubic root of 12345390 is about 231.1186212598.

The spelling of 12345390 in words is "twelve million, three hundred forty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 599 687 1145 1198 1374 1797 2061 2290 2995 3435 3594 4122 5391 5990 6870 8985 10305 10782 17970 20610 26955 53910 137171 274342 411513 685855 823026 1234539 1371710 2057565 2469078 4115130 6172695 12345390