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12817280 = 27572861
BaseRepresentation
bin110000111001…
…001110000000
3220010012000002
4300321032000
511240123110
61134415132
7213642110
oct60711600
926105002
1012817280
1172648a3
1243614a8
132869cb8
1419b9040
1511d2aa5
hexc39380

12817280 has 64 divisors (see below), whose sum is σ = 35030880. Its totient is φ = 4392960.

The previous prime is 12817213. The next prime is 12817307. The reversal of 12817280 is 8271821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3050 + ... + 5910.

Almost surely, 212817280 is an apocalyptic number.

12817280 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 12817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17515440).

12817280 is an abundant number, since it is smaller than the sum of its proper divisors (22213600).

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

12817280 is an equidigital number, since it uses as much as digits as its factorization.

12817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 12817280 is about 3580.1229029183. The cubic root of 12817280 is about 234.0266363620.

The spelling of 12817280 in words is "twelve million, eight hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 2861 4480 5722 11444 14305 20027 22888 28610 40054 45776 57220 80108 91552 100135 114440 160216 183104 200270 228880 320432 366208 400540 457760 640864 801080 915520 1281728 1602160 1831040 2563456 3204320 6408640 12817280