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129024 = 211327
BaseRepresentation
bin11111100000000000
320112222200
4133200000
513112044
62433200
71045110
oct374000
9215880
10129024
1188a35
1262800
134695c
1435040
1528369
hex1f800

129024 has 72 divisors (see below), whose sum is σ = 425880. Its totient is φ = 36864.

The previous prime is 129023. The next prime is 129037. The reversal of 129024 is 420921.

Adding to 129024 its reverse (420921), we get a palindrome (549945).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 128988 and 129006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18429 + ... + 18435.

It is an arithmetic number, because the mean of its divisors is an integer number (5915).

2129024 is an apocalyptic number.

129024 is a gapful number since it is divisible by the number (14) 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 129024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212940).

129024 is an abundant number, since it is smaller than the sum of its proper divisors (296856).

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

129024 is an equidigital number, since it uses as much as digits as its factorization.

129024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 129024 is about 359.1991091303. The cubic root of 129024 is about 50.5308767813.

The spelling of 129024 in words is "one hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 32256 43008 64512 129024