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12280160 = 255234771
BaseRepresentation
bin101110110110…
…000101100000
3212002220012202
4232312011200
511120431120
61115112332
7206244134
oct56660540
925086182
1012280160
116a282a2
1241426a8
13270c689
1418b93c4
151128875
hexbb6160

12280160 has 96 divisors (see below), whose sum is σ = 31352832. Its totient is φ = 4533760.

The previous prime is 12280157. The next prime is 12280181. The reversal of 12280160 is 6108221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172925 + ... + 172995.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 212280160 is an apocalyptic number.

12280160 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 12280160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416).

12280160 is an abundant number, since it is smaller than the sum of its proper divisors (19072672).

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

12280160 is a wasteful number, since it uses less digits than its factorization.

12280160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12280160 is about 3504.3059227185. The cubic root of 12280160 is about 230.7108442603.

Adding to 12280160 its reverse (6108221), we get a palindrome (18388381).

The spelling of 12280160 in words is "twelve million, two hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 47 71 80 92 94 115 142 160 184 188 230 235 284 355 368 376 460 470 568 710 736 752 920 940 1081 1136 1420 1504 1633 1840 1880 2162 2272 2840 3266 3337 3680 3760 4324 5405 5680 6532 6674 7520 8165 8648 10810 11360 13064 13348 16330 16685 17296 21620 26128 26696 32660 33370 34592 43240 52256 53392 65320 66740 76751 86480 106784 130640 133480 153502 172960 261280 266960 307004 383755 533920 614008 767510 1228016 1535020 2456032 3070040 6140080 12280160