Search a number
-
+
12466460 = 2252341661
BaseRepresentation
bin101111100011…
…100100011100
3212110100202202
4233203210130
511142411320
61123111032
7210651236
oct57434434
925410682
1012466460
117045266
124212478
132776406
141927256
151163b75
hexbe391c

12466460 has 48 divisors (see below), whose sum is σ = 28026432. Its totient is φ = 4646400.

The previous prime is 12466459. The next prime is 12466469. The reversal of 12466460 is 6466421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12466469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18530 + ... + 19190.

It is an arithmetic number, because the mean of its divisors is an integer number (583884).

Almost surely, 212466460 is an apocalyptic number.

12466460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12466460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013216).

12466460 is an abundant number, since it is smaller than the sum of its proper divisors (15559972).

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

12466460 is a wasteful number, since it uses less digits than its factorization.

12466460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 12466460 is about 3530.7874475816. The cubic root of 12466460 is about 231.8716838985.

The spelling of 12466460 in words is "twelve million, four hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 661 820 943 1322 1886 2644 3305 3772 4715 6610 9430 13220 15203 18860 27101 30406 54202 60812 76015 108404 135505 152030 271010 304060 542020 623323 1246646 2493292 3116615 6233230 12466460