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123256 = 2373171
BaseRepresentation
bin11110000101111000
320021002001
4132011320
512421011
62350344
71022230
oct360570
9207061
10123256
1184671
125b3b4
1344143
1432cc0
15267c1
hex1e178

123256 has 32 divisors (see below), whose sum is σ = 276480. Its totient is φ = 50400.

The previous prime is 123239. The next prime is 123259. The reversal of 123256 is 652321.

It is a happy number.

123256 is a nontrivial binomial coefficient, being equal to C(497, 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123259) by changing a digit.

123256 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 7 ways as a sum of consecutive naturals, for example, 1701 + ... + 1771.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2123256 is an apocalyptic number.

123256 is the 496-th triangular number.

123256 is the 166-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

123256 is an abundant number, since it is smaller than the sum of its proper divisors (153224).

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

123256 is a wasteful number, since it uses less digits than its factorization.

123256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 123256 is about 351.0783388362. The cubic root of 123256 is about 49.7663767705.

Adding to 123256 its reverse (652321), we get a palindrome (775577).

The spelling of 123256 in words is "one hundred twenty-three thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 71 124 142 217 248 284 434 497 568 868 994 1736 1988 2201 3976 4402 8804 15407 17608 30814 61628 123256