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129444 = 22372367
BaseRepresentation
bin11111100110100100
320120120020
4133212210
513120234
62435140
71046250
oct374644
9216506
10129444
1189287
1262ab0
1346bc3
1435260
1528549
hex1f9a4

129444 has 48 divisors (see below), whose sum is σ = 365568. Its totient is φ = 34848.

The previous prime is 129443. The next prime is 129449. The reversal of 129444 is 444921.

It is not an unprimeable number, because it can be changed into a prime (129443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1899 + ... + 1965.

It is an arithmetic number, because the mean of its divisors is an integer number (7616).

2129444 is an apocalyptic number.

129444 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 129444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182784).

129444 is an abundant number, since it is smaller than the sum of its proper divisors (236124).

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

129444 is a wasteful number, since it uses less digits than its factorization.

129444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 129444 is about 359.7832680934. The cubic root of 129444 is about 50.5856469052.

The spelling of 129444 in words is "one hundred twenty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 67 69 84 92 134 138 161 201 268 276 322 402 469 483 644 804 938 966 1407 1541 1876 1932 2814 3082 4623 5628 6164 9246 10787 18492 21574 32361 43148 64722 129444