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103240 = 2352989
BaseRepresentation
bin11001001101001000
312020121201
4121031020
511300430
62113544
7606664
oct311510
9166551
10103240
1170625
124b8b4
1337cb7
14298a4
15208ca
hex19348

103240 has 32 divisors (see below), whose sum is σ = 243000. Its totient is φ = 39424.

The previous prime is 103237. The next prime is 103289. The reversal of 103240 is 42301.

103240 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 68644 + 34596 = 262^2 + 186^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 1116 + ... + 1204.

2103240 is an apocalyptic number.

103240 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 103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121500).

103240 is an abundant number, since it is smaller than the sum of its proper divisors (139760).

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

103240 is a wasteful number, since it uses less digits than its factorization.

103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 103240 is about 321.3098193333. The cubic root of 103240 is about 46.9118613759.

Adding to 103240 its reverse (42301), we get a palindrome (145541).

It can be divided in two parts, 103 and 240, that added together give a palindrome (343).

The spelling of 103240 in words is "one hundred three thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 29 40 58 89 116 145 178 232 290 356 445 580 712 890 1160 1780 2581 3560 5162 10324 12905 20648 25810 51620 103240