Search a number
-
+
103000 = 2353103
BaseRepresentation
bin11001001001011000
312020021211
4121021120
511244000
62112504
7606202
oct311130
9166254
10103000
1170427
124b734
1337b61
1429772
15207ba
hex19258

103000 has 32 divisors (see below), whose sum is σ = 243360. Its totient is φ = 40800.

The previous prime is 102983. The next prime is 103001. The reversal of 103000 is 301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001) 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, 949 + ... + 1051.

It is an arithmetic number, because the mean of its divisors is an integer number (7605).

2103000 is an apocalyptic number.

103000 is a gapful number since it is divisible by the number (10) 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 103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121680).

103000 is an abundant number, since it is smaller than the sum of its proper divisors (140360).

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

103000 is a wasteful number, since it uses less digits than its factorization.

103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 103000 is about 320.9361307176. The cubic root of 103000 is about 46.8754814765.

Adding to 103000 its reverse (301), we get a palindrome (103301).

The spelling of 103000 in words is "one hundred three thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1030 2060 2575 4120 5150 10300 12875 20600 25750 51500 103000