Search a number
-
+
103704 = 23329149
BaseRepresentation
bin11001010100011000
312021020220
4121110120
511304304
62120040
7611226
oct312430
9167226
10103704
1170a07
1250020
1338283
1429b16
1520ad9
hex19518

103704 has 32 divisors (see below), whose sum is σ = 270000. Its totient is φ = 33152.

The previous prime is 103703. The next prime is 103723. The reversal of 103704 is 407301.

103704 = T157 + T158 + ... + T164.

103704 is nontrivially palindromic in base 11 and base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103704.

It is not an unprimeable number, because it can be changed into a prime (103703) 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, 622 + ... + 770.

2103704 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 103704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135000).

103704 is an abundant number, since it is smaller than the sum of its proper divisors (166296).

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

103704 is a wasteful number, since it uses less digits than its factorization.

103704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 103704 is about 322.0310544031. The cubic root of 103704 is about 46.9820362918.

The spelling of 103704 in words is "one hundred three thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 149 174 232 298 348 447 596 696 894 1192 1788 3576 4321 8642 12963 17284 25926 34568 51852 103704