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12273280 = 275127151
BaseRepresentation
bin101110110100…
…011010000000
3212002112202221
4232310122000
511120221110
61115020424
7206215105
oct56643200
925075687
1012273280
116a23108
12413a714
1327094c6
1418b6aac
1511267da
hexbb4680

12273280 has 64 divisors (see below), whose sum is σ = 29767680. Its totient is φ = 4838400.

The previous prime is 12273277. The next prime is 12273281. The reversal of 12273280 is 8237221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12273281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81205 + ... + 81355.

It is an arithmetic number, because the mean of its divisors is an integer number (465120).

Almost surely, 212273280 is an apocalyptic number.

12273280 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 12273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883840).

12273280 is an abundant number, since it is smaller than the sum of its proper divisors (17494400).

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

12273280 is a wasteful number, since it uses less digits than its factorization.

12273280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 12273280 is about 3503.3241357317. The cubic root of 12273280 is about 230.6677507086.

The spelling of 12273280 in words is "twelve million, two hundred seventy-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 151 160 254 302 320 508 604 635 640 755 1016 1208 1270 1510 2032 2416 2540 3020 4064 4832 5080 6040 8128 9664 10160 12080 16256 19177 19328 20320 24160 38354 40640 48320 76708 81280 95885 96640 153416 191770 306832 383540 613664 767080 1227328 1534160 2454656 3068320 6136640 12273280