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129438 = 2341747
BaseRepresentation
bin11111100110011110
320120120000
4133212132
513120223
62435130
71046241
oct374636
9216500
10129438
1189281
1262aa6
1346bba
1435258
1528543
hex1f99e

129438 has 40 divisors (see below), whose sum is σ = 313632. Its totient is φ = 39744.

The previous prime is 129419. The next prime is 129439. The reversal of 129438 is 834921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 129438.

It is not an unprimeable number, because it can be changed into a prime (129439) by changing a digit.

129438 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2731 + ... + 2777.

129438 is a Friedman number, since it can be written as 14382*9, using all its digits and the basic arithmetic operations.

2129438 is an apocalyptic number.

129438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156816).

129438 is an abundant number, since it is smaller than the sum of its proper divisors (184194).

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

129438 is a wasteful number, since it uses less digits than its factorization.

129438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 129438 is about 359.7749296435. The cubic root of 129438 is about 50.5848653096.

The spelling of 129438 in words is "one hundred twenty-nine thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 81 94 102 141 153 162 282 306 423 459 799 846 918 1269 1377 1598 2397 2538 2754 3807 4794 7191 7614 14382 21573 43146 64719 129438