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129744 = 24321753
BaseRepresentation
bin11111101011010000
320120222100
4133223100
513122434
62440400
71050156
oct375320
9216870
10129744
118952a
1263100
1347094
14353d6
1528699
hex1fad0

129744 has 60 divisors (see below), whose sum is σ = 391716. Its totient is φ = 39936.

The previous prime is 129737. The next prime is 129749. The reversal of 129744 is 447921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 32400 = 312^2 + 180^2 .

Its product of digits (2016) is a multiple of the sum of its prime factors (84).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2422 + ... + 2474.

2129744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195858).

129744 is an abundant number, since it is smaller than the sum of its proper divisors (261972).

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

129744 is a wasteful number, since it uses less digits than its factorization.

129744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 129744 is about 360.1999444753. The cubic root of 129744 is about 50.6246959287.

The spelling of 129744 in words is "one hundred twenty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 53 68 72 102 106 136 144 153 159 204 212 272 306 318 408 424 477 612 636 816 848 901 954 1224 1272 1802 1908 2448 2544 2703 3604 3816 5406 7208 7632 8109 10812 14416 16218 21624 32436 43248 64872 129744