Search a number
BaseRepresentation
bin11111100101010000
320120110010
4133211100
513114420
62434520
71046100
oct374520
9216403
10129360
1189210
1262a40
1346b5a
1435200
15284e0
hex1f950

129360 has 120 divisors (see below), whose sum is σ = 508896. Its totient is φ = 26880.

The previous prime is 129347. The next prime is 129361. The reversal of 129360 is 63921.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129361) by changing a digit.

129360 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 23 ways as a sum of consecutive naturals, for example, 11755 + ... + 11765.

2129360 is an apocalyptic number.

129360 is a gapful number since it is divisible by the number (10) 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 129360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448).

129360 is an abundant number, since it is smaller than the sum of its proper divisors (379536).

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

129360 is a wasteful number, since it uses less digits than its factorization.

129360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 129360 is about 359.6665122026. Note that the first 3 decimals coincide. The cubic root of 129360 is about 50.5747023685.

The spelling of 129360 in words is "one hundred twenty-nine thousand, three hundred sixty".