Search a number
-
+
129675 = 35271319
BaseRepresentation
bin11111101010001011
320120212210
4133222023
513122200
62440203
71050030
oct375213
9216783
10129675
1189477
1263063
1347040
1435387
1528650
hex1fa8b

129675 has 48 divisors (see below), whose sum is σ = 277760. Its totient is φ = 51840.

The previous prime is 129671. The next prime is 129707. The reversal of 129675 is 576921.

It is not a de Polignac number, because 129675 - 22 = 129671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6816 + ... + 6834.

2129675 is an apocalyptic number.

129675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

129675 is an abundant number, since it is smaller than the sum of its proper divisors (148085).

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

129675 is a wasteful number, since it uses less digits than its factorization.

129675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 47 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 129675 is about 360.1041516006. The cubic root of 129675 is about 50.6157199878.

The spelling of 129675 in words is "one hundred twenty-nine thousand, six hundred seventy-five".

Divisors: 1 3 5 7 13 15 19 21 25 35 39 57 65 75 91 95 105 133 175 195 247 273 285 325 399 455 475 525 665 741 975 1235 1365 1425 1729 1995 2275 3325 3705 5187 6175 6825 8645 9975 18525 25935 43225 129675