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12287072 = 257192887
BaseRepresentation
bin101110110111…
…110001100000
3212010020200202
4232313301200
511121141242
61115204332
7206303240
oct56676140
925106622
1012287072
116a32506
1241466a8
132712875
1418bbb20
15112a932
hexbb7c60

12287072 has 48 divisors (see below), whose sum is σ = 29111040. Its totient is φ = 4987008.

The previous prime is 12287059. The next prime is 12287089. The reversal of 12287072 is 27078221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2813 + ... + 5699.

It is an arithmetic number, because the mean of its divisors is an integer number (606480).

Almost surely, 212287072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12287072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555520).

12287072 is an abundant number, since it is smaller than the sum of its proper divisors (16823968).

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

12287072 is a wasteful number, since it uses less digits than its factorization.

12287072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 12287072 is about 3505.2919992491. The cubic root of 12287072 is about 230.7541220422.

The spelling of 12287072 in words is "twelve million, two hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 2887 4256 5774 11548 20209 23096 40418 46192 54853 80836 92384 109706 161672 219412 323344 383971 438824 646688 767942 877648 1535884 1755296 3071768 6143536 12287072