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1287424 = 2847107
BaseRepresentation
bin100111010010100000000
32102102000101
410322110000
5312144144
643332144
713641265
oct4722400
92372011
101287424
117aa296
12521054
13360cb8
1425726c
151a66d4
hex13a500

1287424 has 36 divisors (see below), whose sum is σ = 2649024. Its totient is φ = 624128.

The previous prime is 1287401. The next prime is 1287431. The reversal of 1287424 is 4247821.

It is a junction number, because it is equal to n+sod(n) for n = 1287392 and 1287401.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11979 + ... + 12085.

It is an arithmetic number, because the mean of its divisors is an integer number (73584).

21287424 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 1287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324512).

1287424 is an abundant number, since it is smaller than the sum of its proper divisors (1361600).

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

1287424 is an equidigital number, since it uses as much as digits as its factorization.

1287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

The square root of 1287424 is about 1134.6470816954. The cubic root of 1287424 is about 108.7862150932.

It can be divided in two parts, 1287 and 424, that added together give a triangular number (1711 = T58).

The spelling of 1287424 in words is "one million, two hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 107 128 188 214 256 376 428 752 856 1504 1712 3008 3424 5029 6016 6848 10058 12032 13696 20116 27392 40232 80464 160928 321856 643712 1287424