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12288280 = 2351721063
BaseRepresentation
bin101110111000…
…000100011000
3212010022100111
4232320010120
511121211110
61115214104
7206306614
oct56700430
925108314
1012288280
116a33404
124147334
132713294
1418bc344
15112ae8a
hexbb8118

12288280 has 48 divisors (see below), whose sum is σ = 29398320. Its totient is φ = 4621824.

The previous prime is 12288277. The next prime is 12288281. The reversal of 12288280 is 8288221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11029 + ... + 12091.

It is an arithmetic number, because the mean of its divisors is an integer number (612465).

Almost surely, 212288280 is an apocalyptic number.

12288280 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 12288280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699160).

12288280 is an abundant number, since it is smaller than the sum of its proper divisors (17110040).

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

12288280 is a wasteful number, since it uses less digits than its factorization.

12288280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 12288280 is about 3505.4643059087. The cubic root of 12288280 is about 230.7616839697.

The spelling of 12288280 in words is "twelve million, two hundred eighty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1063 1156 1445 2126 2312 2890 4252 5315 5780 8504 10630 11560 18071 21260 36142 42520 72284 90355 144568 180710 307207 361420 614414 722840 1228828 1536035 2457656 3072070 6144140 12288280