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1200132 = 2232173753
BaseRepresentation
bin100100101000000000100
32020222021100
410211000010
5301401012
641420100
713125633
oct4450004
92228240
101200132
1174a74a
1249a630
1333034b
1423351a
1518a8dc
hex125004

1200132 has 72 divisors (see below), whose sum is σ = 3361176. Its totient is φ = 359424.

The previous prime is 1200109. The next prime is 1200139. The reversal of 1200132 is 2310021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 715716 + 484416 = 846^2 + 696^2 .

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

1200132 is a modest number, since divided by 132 gives 120 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1200139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22618 + ... + 22670.

It is an arithmetic number, because the mean of its divisors is an integer number (46683).

21200132 is an apocalyptic number.

1200132 is a gapful number since it is divisible by the number (12) 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 1200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680588).

1200132 is an abundant number, since it is smaller than the sum of its proper divisors (2161044).

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

1200132 is a wasteful number, since it uses less digits than its factorization.

1200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1200132 is about 1095.5053628349. The cubic root of 1200132 is about 106.2697531902.

Adding to 1200132 its reverse (2310021), we get a palindrome (3510153).

The spelling of 1200132 in words is "one million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 53 68 74 102 106 111 148 153 159 204 212 222 306 318 333 444 477 612 629 636 666 901 954 1258 1332 1802 1887 1908 1961 2516 2703 3604 3774 3922 5406 5661 5883 7548 7844 8109 10812 11322 11766 16218 17649 22644 23532 32436 33337 35298 66674 70596 100011 133348 200022 300033 400044 600066 1200132