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12427360 = 2551123307
BaseRepresentation
bin101111011010…
…000001100000
3212101101010121
4233122001200
511140133420
61122210024
7210426241
oct57320140
925341117
1012427360
117018950
1241b3914
13276168a
141916cc8
1511572aa
hexbda060

12427360 has 96 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 4308480.

The previous prime is 12427339. The next prime is 12427367. The reversal of 12427360 is 6372421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12427367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40327 + ... + 40633.

It is an arithmetic number, because the mean of its divisors is an integer number (349272).

Almost surely, 212427360 is an apocalyptic number.

12427360 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 12427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

12427360 is an abundant number, since it is smaller than the sum of its proper divisors (21102752).

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

12427360 is a wasteful number, since it uses less digits than its factorization.

12427360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 12427360 is about 3525.2460907006. The cubic root of 12427360 is about 231.6290146930.

Adding to 12427360 its reverse (6372421), we get a palindrome (18799781).

The spelling of 12427360 in words is "twelve million, four hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 307 352 368 440 460 506 614 736 880 920 1012 1228 1265 1535 1760 1840 2024 2456 2530 3070 3377 3680 4048 4912 5060 6140 6754 7061 8096 9824 10120 12280 13508 14122 16885 20240 24560 27016 28244 33770 35305 40480 49120 54032 56488 67540 70610 77671 108064 112976 135080 141220 155342 225952 270160 282440 310684 388355 540320 564880 621368 776710 1129760 1242736 1553420 2485472 3106840 6213680 12427360