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104256 = 2632181
BaseRepresentation
bin11001011101000000
312022000100
4121131000
511314011
62122400
7612645
oct313500
9168010
10104256
1171369
1250400
13385b9
1429dcc
1520d56
hex19740

104256 has 42 divisors (see below), whose sum is σ = 300482. Its totient is φ = 34560.

The previous prime is 104243. The next prime is 104281. The reversal of 104256 is 652401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 46656 = 240^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

104256 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 5 ways as a sum of consecutive naturals, for example, 486 + ... + 666.

2104256 is an apocalyptic number.

104256 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 104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150241).

104256 is an abundant number, since it is smaller than the sum of its proper divisors (196226).

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

104256 is a wasteful number, since it uses less digits than its factorization.

104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 104256 is about 322.8869771298. The cubic root of 104256 is about 47.0652481425.

Adding to 104256 its reverse (652401), we get a palindrome (756657).

The spelling of 104256 in words is "one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 288 362 543 576 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 26064 34752 52128 104256