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12275280 = 243355683
BaseRepresentation
bin101110110100…
…111001010000
3212002122112000
4232310321100
511120302110
61115034000
7206223663
oct56647120
925078460
1012275280
116a24666
12413b900
13270a3a4
1418b76da
1511271c0
hexbb4e50

12275280 has 80 divisors (see below), whose sum is σ = 42288960. Its totient is φ = 3272832.

The previous prime is 12275269. The next prime is 12275293. The reversal of 12275280 is 8257221.

12275280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 682 + ... + 5001.

It is an arithmetic number, because the mean of its divisors is an integer number (528612).

Almost surely, 212275280 is an apocalyptic number.

12275280 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 12275280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144480).

12275280 is an abundant number, since it is smaller than the sum of its proper divisors (30013680).

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

12275280 is a wasteful number, since it uses less digits than its factorization.

12275280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12275280 is about 3503.6095672891. The cubic root of 12275280 is about 230.6802795639.

The spelling of 12275280 in words is "twelve million, two hundred seventy-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5683 11366 17049 22732 28415 34098 45464 51147 56830 68196 85245 90928 102294 113660 136392 153441 170490 204588 227320 255735 272784 306882 340980 409176 454640 511470 613764 681960 767205 818352 1022940 1227528 1363920 1534410 2045880 2455056 3068820 4091760 6137640 12275280