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12720084 = 22313671217
BaseRepresentation
bin110000100001…
…011111010100
3212221020200020
4300201133110
511224020314
61132345140
7213055536
oct60413724
925836606
1012720084
1171a8873
1243151b0
1328349a0
141991856
1511b3da9
hexc217d4

12720084 has 48 divisors (see below), whose sum is σ = 32467008. Its totient is φ = 3852288.

The previous prime is 12720083. The next prime is 12720091. The reversal of 12720084 is 48002721.

12720084 = T367 + T368 + ... + T500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12720083) 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 15 ways as a sum of consecutive naturals, for example, 9844 + ... + 11060.

It is an arithmetic number, because the mean of its divisors is an integer number (676396).

Almost surely, 212720084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12720084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233504).

12720084 is an abundant number, since it is smaller than the sum of its proper divisors (19746924).

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

12720084 is a wasteful number, since it uses less digits than its factorization.

12720084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12720084 is about 3566.5226762212. The cubic root of 12720084 is about 233.4335777886.

The spelling of 12720084 in words is "twelve million, seven hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 804 871 1217 1742 2434 2613 3484 3651 4868 5226 7302 10452 14604 15821 31642 47463 63284 81539 94926 163078 189852 244617 326156 489234 978468 1060007 2120014 3180021 4240028 6360042 12720084