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1282120 = 235719241
BaseRepresentation
bin100111001000001001000
32102010201221
410321001020
5312011440
643251424
713616650
oct4710110
92363657
101282120
117a6304
12519b74
1335b768
14255360
151a4d4a
hex139048

1282120 has 64 divisors (see below), whose sum is σ = 3484800. Its totient is φ = 414720.

The previous prime is 1282117. The next prime is 1282121. The reversal of 1282120 is 212821.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1282094 and 1282103.

It is not an unprimeable number, because it can be changed into a prime (1282121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5200 + ... + 5440.

It is an arithmetic number, because the mean of its divisors is an integer number (54450).

21282120 is an apocalyptic number.

1282120 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 1282120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742400).

1282120 is an abundant number, since it is smaller than the sum of its proper divisors (2202680).

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

1282120 is a wasteful number, since it uses less digits than its factorization.

1282120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1282120 is about 1132.3073787625. The cubic root of 1282120 is about 108.6366149895.

Adding to 1282120 its reverse (212821), we get a palindrome (1494941).

The spelling of 1282120 in words is "one million, two hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 241 266 280 380 482 532 665 760 964 1064 1205 1330 1687 1928 2410 2660 3374 4579 4820 5320 6748 8435 9158 9640 13496 16870 18316 22895 32053 33740 36632 45790 64106 67480 91580 128212 160265 183160 256424 320530 641060 1282120