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1330200 = 233252739
BaseRepresentation
bin101000100110000011000
32111120200200
411010300120
5320031300
644302200
714210064
oct5046030
92446620
101330200
11829443
12541960
13377601
14268aa4
151b4200
hex144c18

1330200 has 72 divisors (see below), whose sum is σ = 4473300. Its totient is φ = 354240.

The previous prime is 1330177. The next prime is 1330207. The reversal of 1330200 is 20331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330207) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1431 + ... + 2169.

21330200 is an apocalyptic number.

1330200 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 1330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236650).

1330200 is an abundant number, since it is smaller than the sum of its proper divisors (3143100).

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

1330200 is a wasteful number, since it uses less digits than its factorization.

1330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1330200 is about 1153.3429672045. The cubic root of 1330200 is about 109.9779570156.

Adding to 1330200 its reverse (20331), we get a palindrome (1350531).

The spelling of 1330200 in words is "one million, three hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 739 900 1478 1800 2217 2956 3695 4434 5912 6651 7390 8868 11085 13302 14780 17736 18475 22170 26604 29560 33255 36950 44340 53208 55425 66510 73900 88680 110850 133020 147800 166275 221700 266040 332550 443400 665100 1330200