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1200520 = 23530013
BaseRepresentation
bin100100101000110001000
32020222210201
410211012020
5301404040
641421544
713130026
oct4450610
92228721
101200520
1174aa72
1249a8b4
13330589
14233716
1518aa9a
hex125188

1200520 has 16 divisors (see below), whose sum is σ = 2701260. Its totient is φ = 480192.

The previous prime is 1200509. The next prime is 1200527. The reversal of 1200520 is 250021.

It can be written as a sum of positive squares in 2 ways, for example, as 964324 + 236196 = 982^2 + 486^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1200497 and 1200506.

It is not an unprimeable number, because it can be changed into a prime (1200527) 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 3 ways as a sum of consecutive naturals, for example, 14967 + ... + 15046.

21200520 is an apocalyptic number.

1200520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200520 is an abundant number, since it is smaller than the sum of its proper divisors (1500740).

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

1200520 is a wasteful number, since it uses less digits than its factorization.

1200520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30024 (or 30020 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1200520 is about 1095.6824357450. The cubic root of 1200520 is about 106.2812042143.

Adding to 1200520 its reverse (250021), we get a palindrome (1450541).

It can be divided in two parts, 12005 and 20, that multiplied together give a square (240100 = 4902).

The spelling of 1200520 in words is "one million, two hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 30013 60026 120052 150065 240104 300130 600260 1200520