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13282720 = 255117547
BaseRepresentation
bin110010101010…
…110110100000
3220222211110121
4302222312200
511400021340
61152410024
7220621063
oct62526640
926884417
1013282720
117552560
124546914
1329a0ac9
141a9a8da
15127594a
hexcaada0

13282720 has 48 divisors (see below), whose sum is σ = 34237728. Its totient is φ = 4829440.

The previous prime is 13282697. The next prime is 13282723. The reversal of 13282720 is 2728231.

It is not an unprimeable number, because it can be changed into a prime (13282723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2014 + ... + 5533.

It is an arithmetic number, because the mean of its divisors is an integer number (713286).

Almost surely, 213282720 is an apocalyptic number.

13282720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13282720 is an abundant number, since it is smaller than the sum of its proper divisors (20955008).

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

13282720 is a wasteful number, since it uses less digits than its factorization.

13282720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13282720 is about 3644.5466110341. The cubic root of 13282720 is about 236.8257961306.

The spelling of 13282720 in words is "thirteen million, two hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 7547 15094 30188 37735 60376 75470 83017 120752 150940 166034 241504 301880 332068 415085 603760 664136 830170 1207520 1328272 1660340 2656544 3320680 6641360 13282720