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12281080 = 2357231907
BaseRepresentation
bin101110110110…
…010011111000
3212002221110211
4232312103320
511120443310
61115120504
7206246620
oct56662370
925087424
1012281080
116a28a59
124143134
13270cc16
1418b9880
151128c8a
hexbb64f8

12281080 has 64 divisors (see below), whose sum is σ = 32970240. Its totient is φ = 4025472.

The previous prime is 12281063. The next prime is 12281111. The reversal of 12281080 is 8018221.

12281080 = T351 + T352 + ... + T488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5487 + ... + 7393.

It is an arithmetic number, because the mean of its divisors is an integer number (515160).

Almost surely, 212281080 is an apocalyptic number.

12281080 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 12281080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485120).

12281080 is an abundant number, since it is smaller than the sum of its proper divisors (20689160).

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

12281080 is a wasteful number, since it uses less digits than its factorization.

12281080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 12281080 is about 3504.4371873384. The cubic root of 12281080 is about 230.7166055500.

The spelling of 12281080 in words is "twelve million, two hundred eighty-one thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 1907 3220 3814 6440 7628 9535 13349 15256 19070 26698 38140 43861 53396 66745 76280 87722 106792 133490 175444 219305 266980 307027 350888 438610 533960 614054 877220 1228108 1535135 1754440 2456216 3070270 6140540 12281080