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103424 = 210101
BaseRepresentation
bin11001010000000000
312020212112
4121100000
511302144
62114452
7610346
oct312000
9166775
10103424
1170782
124ba28
13380c9
1429996
152099e
hex19400

103424 has 22 divisors (see below), whose sum is σ = 208794. Its totient is φ = 51200.

The previous prime is 103423. The next prime is 103451. The reversal of 103424 is 424301.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 1024 = 320^2 + 32^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103399 and 103408.

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 103424.

It is not an unprimeable number, because it can be changed into a prime (103421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 974 + ... + 1074.

2103424 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 103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104397).

103424 is an abundant number, since it is smaller than the sum of its proper divisors (105370).

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

103424 is an equidigital number, since it uses as much as digits as its factorization.

103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 103424 is about 321.5960198759. The cubic root of 103424 is about 46.9397144675.

Adding to 103424 its reverse (424301), we get a palindrome (527725).

The spelling of 103424 in words is "one hundred three thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1024 1616 3232 6464 12928 25856 51712 103424