Search a number
-
+
12930480 = 2432517959
BaseRepresentation
bin110001010100…
…110110110000
3220022221021200
4301110312300
511302233410
61141051200
7214623123
oct61246660
926287250
1012930480
117331952
1243b6b00
1328a9694
141a083ba
1512063c0
hexc54db0

12930480 has 60 divisors (see below), whose sum is σ = 43427280. Its totient is φ = 3447936.

The previous prime is 12930479. The next prime is 12930493. The reversal of 12930480 is 8403921.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 8260 + ... + 9699.

It is an arithmetic number, because the mean of its divisors is an integer number (723788).

Almost surely, 212930480 is an apocalyptic number.

12930480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12930480 is an abundant number, since it is smaller than the sum of its proper divisors (30496800).

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

12930480 is a wasteful number, since it uses less digits than its factorization.

12930480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17978 (or 17969 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12930480 is about 3595.8976626150. The cubic root of 12930480 is about 234.7135789189.

The spelling of 12930480 in words is "twelve million, nine hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 17959 35918 53877 71836 89795 107754 143672 161631 179590 215508 269385 287344 323262 359180 431016 538770 646524 718360 808155 862032 1077540 1293048 1436720 1616310 2155080 2586096 3232620 4310160 6465240 12930480