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129056 = 2537109
BaseRepresentation
bin11111100000100000
320120000212
4133200200
513112211
62433252
71045154
oct374040
9216025
10129056
1188a64
1262828
1346985
1435064
152838b
hex1f820

129056 has 24 divisors (see below), whose sum is σ = 263340. Its totient is φ = 62208.

The previous prime is 129049. The next prime is 129061. The reversal of 129056 is 650921.

It can be written as a sum of positive squares in 2 ways, for example, as 115600 + 13456 = 340^2 + 116^2 .

It is a super-2 number, since 2×1290562 = 33310902272, which contains 22 as substring.

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

It is an unprimeable number.

129056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1130 + ... + 1238.

2129056 is an apocalyptic number.

129056 is a gapful number since it is divisible by the number (16) 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 129056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131670).

129056 is an abundant number, since it is smaller than the sum of its proper divisors (134284).

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

129056 is a wasteful number, since it uses less digits than its factorization.

129056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 129056 is about 359.2436499091. The cubic root of 129056 is about 50.5350539224.

Adding to 129056 its reverse (650921), we get a palindrome (779977).

The spelling of 129056 in words is "one hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 74 109 148 218 296 436 592 872 1184 1744 3488 4033 8066 16132 32264 64528 129056