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104754 = 23131779
BaseRepresentation
bin11001100100110010
312022200210
4121210302
511323004
62124550
7614256
oct314462
9168623
10104754
1171781
1250756
13388b0
142a266
1521089
hex19932

104754 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 29952.

The previous prime is 104743. The next prime is 104759. The reversal of 104754 is 457401.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 104754.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 104754.

It is not an unprimeable number, because it can be changed into a prime (104759) by changing a digit.

104754 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 15 ways as a sum of consecutive naturals, for example, 1287 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2104754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

104754 is an abundant number, since it is smaller than the sum of its proper divisors (137166).

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

104754 is a wasteful number, since it uses less digits than its factorization.

104754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 104754 is about 323.6572260896. The cubic root of 104754 is about 47.1400680496.

It can be divided in two parts, 104 and 754, that added together give a palindrome (858).

The spelling of 104754 in words is "one hundred four thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 79 102 158 221 237 442 474 663 1027 1326 1343 2054 2686 3081 4029 6162 8058 17459 34918 52377 104754