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129032 = 231272
BaseRepresentation
bin11111100000001000
320112222222
4133200020
513112112
62433212
71045121
oct374010
9215888
10129032
1188a42
1262808
1346967
1435048
1528372
hex1f808

129032 has 12 divisors (see below), whose sum is σ = 243855. Its totient is φ = 64008.

The previous prime is 129023. The next prime is 129037. The reversal of 129032 is 230921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 64516 = 254^2 + 254^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=254.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 129032.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 129032.

It is not an unprimeable number, because it can be changed into a prime (129037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 953 + ... + 1079.

2129032 is an apocalyptic number.

It is an amenable number.

129032 is a deficient number, since it is larger than the sum of its proper divisors (114823).

129032 is an equidigital number, since it uses as much as digits as its factorization.

129032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 129032 is about 359.2102448428. The cubic root of 129032 is about 50.5319211313.

Adding to 129032 its reverse (230921), we get a palindrome (359953).

The spelling of 129032 in words is "one hundred twenty-nine thousand, thirty-two".

Divisors: 1 2 4 8 127 254 508 1016 16129 32258 64516 129032