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12270880 = 255271283
BaseRepresentation
bin101110110011…
…110100100000
3212002102111001
4232303310200
511120132010
61115001344
7206205106
oct56636440
925072431
1012270880
116a21326
124139254
13270839b
1418b5c76
151125c3a
hexbb3d20

12270880 has 48 divisors (see below), whose sum is σ = 29199744. Its totient is φ = 4872960.

The previous prime is 12270871. The next prime is 12270911. The reversal of 12270880 is 8807221.

12270880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 43219 + ... + 43501.

It is an arithmetic number, because the mean of its divisors is an integer number (608328).

Almost surely, 212270880 is an apocalyptic number.

12270880 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 12270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599872).

12270880 is an abundant number, since it is smaller than the sum of its proper divisors (16928864).

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

12270880 is a wasteful number, since it uses less digits than its factorization.

12270880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 12270880 is about 3502.9815871626. The cubic root of 12270880 is about 230.6527142856.

The spelling of 12270880 in words is "twelve million, two hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 283 542 566 1084 1132 1355 1415 2168 2264 2710 2830 4336 4528 5420 5660 8672 9056 10840 11320 21680 22640 43360 45280 76693 153386 306772 383465 613544 766930 1227088 1533860 2454176 3067720 6135440 12270880