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12714720 = 253526489
BaseRepresentation
bin110000100000…
…001011100000
3212220222022120
4300200023200
511223332340
61132304240
7213034104
oct60401340
925828276
1012714720
1171a4837
124312080
132832405
14198d904
1511b24d0
hexc202e0

12714720 has 48 divisors (see below), whose sum is σ = 40052880. Its totient is φ = 3390464.

The previous prime is 12714701. The next prime is 12714721. The reversal of 12714720 is 2741721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12714721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12765 + ... + 13724.

It is an arithmetic number, because the mean of its divisors is an integer number (834435).

Almost surely, 212714720 is an apocalyptic number.

12714720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12714720 is an abundant number, since it is smaller than the sum of its proper divisors (27338160).

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

12714720 is a wasteful number, since it uses less digits than its factorization.

12714720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26507 (or 26499 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 12714720 is about 3565.7706039508. The cubic root of 12714720 is about 233.4007605588.

The spelling of 12714720 in words is "twelve million, seven hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26489 52978 79467 105956 132445 158934 211912 264890 317868 397335 423824 529780 635736 794670 847648 1059560 1271472 1589340 2119120 2542944 3178680 4238240 6357360 12714720