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12313000 = 235371759
BaseRepresentation
bin101110111110…
…000110101000
3212011120021001
4232332012220
511123004000
61115524344
7206441650
oct56760650
925146231
1012313000
116a4aa37
1241596b4
1327215cb
1418c7360
15113346a
hexbbe1a8

12313000 has 64 divisors (see below), whose sum is σ = 32947200. Its totient is φ = 4219200.

The previous prime is 12312991. The next prime is 12313003. The reversal of 12313000 is 31321.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12313003) 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, 6121 + ... + 7879.

It is an arithmetic number, because the mean of its divisors is an integer number (514800).

Almost surely, 212313000 is an apocalyptic number.

12313000 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 12313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473600).

12313000 is an abundant number, since it is smaller than the sum of its proper divisors (20634200).

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

12313000 is a wasteful number, since it uses less digits than its factorization.

12313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 12313000 is about 3508.9884582312. The cubic root of 12313000 is about 230.9163193336.

Adding to 12313000 its reverse (31321), we get a palindrome (12344321).

The spelling of 12313000 in words is "twelve million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 1759 3500 3518 7000 7036 8795 12313 14072 17590 24626 35180 43975 49252 61565 70360 87950 98504 123130 175900 219875 246260 307825 351800 439750 492520 615650 879500 1231300 1539125 1759000 2462600 3078250 6156500 12313000