Search a number
-
+
1200414132 = 2232171961461
BaseRepresentation
bin100011110001100…
…1101110110110100
310002122210100121200
41013203031312310
54424301223012
6315041012500
741514231441
oct10743156664
93078710550
101200414132
115666699a5
12296024130
1316190ab28
14b55da9c8
15705bd3dc
hex478cddb4

1200414132 has 36 divisors (see below), whose sum is σ = 3212874756. Its totient is φ = 376600320.

The previous prime is 1200414079. The next prime is 1200414133. The reversal of 1200414132 is 2314140021.

1200414132 is a `hidden beast` number, since 120 + 0 + 414 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1065761316 + 134652816 = 32646^2 + 11604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200414133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 980119 + ... + 981342.

It is an arithmetic number, because the mean of its divisors is an integer number (89246521).

Almost surely, 21200414132 is an apocalyptic number.

1200414132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1200414132 is an abundant number, since it is smaller than the sum of its proper divisors (2012460624).

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

1200414132 is a wasteful number, since it uses less digits than its factorization.

1200414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961488 (or 1961483 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1200414132 is about 34646.9931162864. The cubic root of 1200414132 is about 1062.7807998223.

Adding to 1200414132 its reverse (2314140021), we get a palindrome (3514554153).

The spelling of 1200414132 in words is "one billion, two hundred million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1961461 3922922 5884383 7845844 11768766 17653149 23537532 33344837 35306298 66689674 70612596 100034511 133379348 200069022 300103533 400138044 600207066 1200414132