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1028300 = 2252713113
BaseRepresentation
bin11111011000011001100
31221020120012
43323003030
5230401200
634012352
711511650
oct3730314
91836505
101028300
11642639
124170b8
132a0080
141caa60
15154a35
hexfb0cc

1028300 has 72 divisors (see below), whose sum is σ = 2770656. Its totient is φ = 322560.

The previous prime is 1028273. The next prime is 1028303. The reversal of 1028300 is 38201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1028303) 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 23 ways as a sum of consecutive naturals, for example, 9044 + ... + 9156.

21028300 is an apocalyptic number.

1028300 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 1028300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385328).

1028300 is an abundant number, since it is smaller than the sum of its proper divisors (1742356).

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

1028300 is a wasteful number, since it uses less digits than its factorization.

1028300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1028300 is about 1014.0512807546. The cubic root of 1028300 is about 100.9345718781.

Subtracting from 1028300 its reverse (38201), we obtain a palindrome (990099).

The spelling of 1028300 in words is "one million, twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 113 130 140 175 182 226 260 325 350 364 452 455 565 650 700 791 910 1130 1300 1469 1582 1820 2260 2275 2825 2938 3164 3955 4550 5650 5876 7345 7910 9100 10283 11300 14690 15820 19775 20566 29380 36725 39550 41132 51415 73450 79100 102830 146900 205660 257075 514150 1028300