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12930000 = 24354431
BaseRepresentation
bin110001010100…
…101111010000
3220022220121220
4301110233100
511302230000
61141045040
7214621536
oct61245720
926286556
1012930000
117331556
1243b6780
1328a93b5
141a08156
1512061a0
hexc54bd0

12930000 has 100 divisors (see below), whose sum is σ = 41836608. Its totient is φ = 3440000.

The previous prime is 12929999. The next prime is 12930011. The reversal of 12930000 is 3921.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 29785 + ... + 30215.

Almost surely, 212930000 is an apocalyptic number.

12930000 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 12930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918304).

12930000 is an abundant number, since it is smaller than the sum of its proper divisors (28906608).

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

12930000 is an equidigital number, since it uses as much as digits as its factorization.

12930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 12930000 is about 3595.8309192730. The cubic root of 12930000 is about 234.7106745691.

Adding to 12930000 its reverse (3921), we get a palindrome (12933921).

The spelling of 12930000 in words is "twelve million, nine hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 431 500 600 625 750 862 1000 1200 1250 1293 1500 1724 1875 2000 2155 2500 2586 3000 3448 3750 4310 5000 5172 6000 6465 6896 7500 8620 10000 10344 10775 12930 15000 17240 20688 21550 25860 30000 32325 34480 43100 51720 53875 64650 86200 103440 107750 129300 161625 172400 215500 258600 269375 323250 431000 517200 538750 646500 808125 862000 1077500 1293000 1616250 2155000 2586000 3232500 4310000 6465000 12930000