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1282428 = 223272727
BaseRepresentation
bin100111001000101111100
32102011011100
410321011330
5312014203
643253100
713620600
oct4710574
92364140
101282428
117a6564
1251a190
1335b944
14255500
151a4ea3
hex13917c

1282428 has 54 divisors (see below), whose sum is σ = 3776136. Its totient is φ = 365904.

The previous prime is 1282427. The next prime is 1282451. The reversal of 1282428 is 8242821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282423) 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 17 ways as a sum of consecutive naturals, for example, 1401 + ... + 2127.

21282428 is an apocalyptic number.

1282428 is a gapful number since it is divisible by the number (18) 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 1282428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888068).

1282428 is an abundant number, since it is smaller than the sum of its proper divisors (2493708).

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

1282428 is a wasteful number, since it uses less digits than its factorization.

1282428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 739 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 1282428 is about 1132.4433760679. The cubic root of 1282428 is about 108.6453134469.

Subtracting from 1282428 its sum of digits (27), we obtain a triangular number (1282401 = T1601).

It can be divided in two parts, 128 and 2428, that added together give a triangular number (2556 = T71).

The spelling of 1282428 in words is "one million, two hundred eighty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 727 882 1454 1764 2181 2908 4362 5089 6543 8724 10178 13086 15267 20356 26172 30534 35623 45801 61068 71246 91602 106869 142492 183204 213738 320607 427476 641214 1282428