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129272 = 231113113
BaseRepresentation
bin11111100011111000
320120022212
4133203320
513114042
62434252
71045613
oct374370
9216285
10129272
1189140
1262988
1346ac0
143517a
1528482
hex1f8f8

129272 has 32 divisors (see below), whose sum is σ = 287280. Its totient is φ = 53760.

The previous prime is 129263. The next prime is 129277. The reversal of 129272 is 272921.

129272 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×1292722 = 33422499968, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129277) 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 7 ways as a sum of consecutive naturals, for example, 1088 + ... + 1200.

2129272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

129272 is an abundant number, since it is smaller than the sum of its proper divisors (158008).

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

129272 is a wasteful number, since it uses less digits than its factorization.

129272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 129272 is about 359.5441558418. The cubic root of 129272 is about 50.5632315806.

The spelling of 129272 in words is "one hundred twenty-nine thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 113 143 226 286 452 572 904 1144 1243 1469 2486 2938 4972 5876 9944 11752 16159 32318 64636 129272