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104728 = 23131953
BaseRepresentation
bin11001100100011000
312022122211
4121210120
511322403
62124504
7614221
oct314430
9168584
10104728
1171758
1250734
1338890
142a248
152106d
hex19918

104728 has 32 divisors (see below), whose sum is σ = 226800. Its totient is φ = 44928.

The previous prime is 104723. The next prime is 104729. The reversal of 104728 is 827401.

It is a junction number, because it is equal to n+sod(n) for n = 104699 and 104708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104723) 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 7 ways as a sum of consecutive naturals, for example, 1950 + ... + 2002.

2104728 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 104728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

104728 is an abundant number, since it is smaller than the sum of its proper divisors (122072).

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

104728 is a wasteful number, since it uses less digits than its factorization.

104728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 104728 is about 323.6170576468. The cubic root of 104728 is about 47.1361676634.

The spelling of 104728 in words is "one hundred four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 53 76 104 106 152 212 247 424 494 689 988 1007 1378 1976 2014 2756 4028 5512 8056 13091 26182 52364 104728