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1030200 = 2335217101
BaseRepresentation
bin11111011100000111000
31221100011120
43323200320
5230431300
634025240
711520333
oct3734070
91840146
101030200
11644006
12418220
132a0bb2
141cb61a
151553a0
hexfb838

1030200 has 96 divisors (see below), whose sum is σ = 3414960. Its totient is φ = 256000.

The previous prime is 1030181. The next prime is 1030201. The reversal of 1030200 is 20301.

It is a super-2 number, since 2×10302002 = 2122624080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030201) 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, 10150 + ... + 10250.

21030200 is an apocalyptic number.

1030200 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 1030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707480).

1030200 is an abundant number, since it is smaller than the sum of its proper divisors (2384760).

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

1030200 is a wasteful number, since it uses less digits than its factorization.

1030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 1030200 is about 1014.9876846544. The cubic root of 1030200 is about 100.9966995621.

Adding to 1030200 its reverse (20301), we get a palindrome (1050501).

The spelling of 1030200 in words is "one million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 101 102 120 136 150 170 200 202 204 255 300 303 340 404 408 425 505 510 600 606 680 808 850 1010 1020 1212 1275 1515 1700 1717 2020 2040 2424 2525 2550 3030 3400 3434 4040 5050 5100 5151 6060 6868 7575 8585 10100 10200 10302 12120 13736 15150 17170 20200 20604 25755 30300 34340 41208 42925 51510 60600 68680 85850 103020 128775 171700 206040 257550 343400 515100 1030200