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1300440132 = 223241881057
BaseRepresentation
bin100110110000011…
…0010010001000100
310100122000012111100
41031200302101010
510130403041012
6333012540100
744140362435
oct11540622104
93318005440
101300440132
11608078a12
12303621630
13179560404
14c49d748c
157927a8dc
hex4d832444

1300440132 has 36 divisors (see below), whose sum is σ = 3367403676. Its totient is φ = 422906880.

The previous prime is 1300440131. The next prime is 1300440137. The reversal of 1300440132 is 2310440031.

It can be written as a sum of positive squares in 2 ways, for example, as 165019716 + 1135420416 = 12846^2 + 33696^2 .

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

It is a super-2 number, since 2×13004401322 = 3382289073832354848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1300440131) 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 11 ways as a sum of consecutive naturals, for example, 439053 + ... + 442004.

It is an arithmetic number, because the mean of its divisors is an integer number (93538991).

Almost surely, 21300440132 is an apocalyptic number.

1300440132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1300440132 is an abundant number, since it is smaller than the sum of its proper divisors (2066963544).

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

1300440132 is a wasteful number, since it uses less digits than its factorization.

1300440132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881108 (or 881103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1300440132 is about 36061.6157707888. The cubic root of 1300440132 is about 1091.5160376078.

Adding to 1300440132 its reverse (2310440031), we get a palindrome (3610880163).

The spelling of 1300440132 in words is "one billion, three hundred million, four hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 881057 1762114 2643171 3524228 5286342 7929513 10572684 15859026 31718052 36123337 72246674 108370011 144493348 216740022 325110033 433480044 650220066 1300440132