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12716480 = 26572811
BaseRepresentation
bin110000100000…
…100111000000
3212221001201202
4300200213000
511223411410
61132320332
7213042200
oct60404700
925831652
1012716480
1171a6097
1243130a8
13283315a
141990400
1511b2ca5
hexc209c0

12716480 has 84 divisors (see below), whose sum is σ = 35268408. Its totient is φ = 4354560.

The previous prime is 12716467. The next prime is 12716489. The reversal of 12716480 is 8461721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12716489) 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 11 ways as a sum of consecutive naturals, for example, 15275 + ... + 16085.

It is an arithmetic number, because the mean of its divisors is an integer number (419862).

Almost surely, 212716480 is an apocalyptic number.

12716480 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 12716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17634204).

12716480 is an abundant number, since it is smaller than the sum of its proper divisors (22551928).

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

12716480 is an equidigital number, since it uses as much as digits as its factorization.

12716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 12716480 is about 3566.0173863850. The cubic root of 12716480 is about 233.4115293471.

The spelling of 12716480 in words is "twelve million, seven hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 811 980 1120 1568 1622 1960 2240 3136 3244 3920 4055 5677 6488 7840 8110 11354 12976 15680 16220 22708 25952 28385 32440 39739 45416 51904 56770 64880 79478 90832 113540 129760 158956 181664 198695 227080 259520 317912 363328 397390 454160 635824 794780 908320 1271648 1589560 1816640 2543296 3179120 6358240 12716480