Search a number
-
+
1026300 = 2235211311
BaseRepresentation
bin11111010100011111100
31221010211010
43322203330
5230320200
633555220
711503062
oct3724374
91833733
101026300
11641090
12415b10
1329c1a2
141ca032
15154150
hexfa8fc

1026300 has 72 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 248000.

The previous prime is 1026299. The next prime is 1026313. The reversal of 1026300 is 36201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3145 + ... + 3455.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

21026300 is an apocalyptic number.

1026300 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 1026300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

1026300 is an abundant number, since it is smaller than the sum of its proper divisors (2223492).

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

1026300 is a wasteful number, since it uses less digits than its factorization.

1026300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1026300 is about 1013.0646573640. The cubic root of 1026300 is about 100.8690915834.

Subtracting from 1026300 its reverse (36201), we obtain a palindrome (990099).

It can be divided in two parts, 1026 and 300, that added together give a triangular number (1326 = T51).

The spelling of 1026300 in words is "one million, twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 311 330 550 622 660 825 933 1100 1244 1555 1650 1866 3110 3300 3421 3732 4665 6220 6842 7775 9330 10263 13684 15550 17105 18660 20526 23325 31100 34210 41052 46650 51315 68420 85525 93300 102630 171050 205260 256575 342100 513150 1026300