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10503424 = 2889461
BaseRepresentation
bin101000000100…
…010100000000
3201202121222201
4220010110000
510142102144
61013042544
7155164141
oct50042400
921677881
1010503424
115a24418
123626454
132239a59
141575ac8
15dc71d4
hexa04500

10503424 has 36 divisors (see below), whose sum is σ = 21247380. Its totient is φ = 5181440.

The previous prime is 10503413. The next prime is 10503439. The reversal of 10503424 is 42430501.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 7840000 = 1632^2 + 2800^2 .

It is a super-2 number, since 2×105034242 = 220643831447552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22554 + ... + 23014.

It is an arithmetic number, because the mean of its divisors is an integer number (590205).

Almost surely, 210503424 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 10503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10623690).

10503424 is an abundant number, since it is smaller than the sum of its proper divisors (10743956).

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

10503424 is an frugal number, since it uses more digits than its factorization.

10503424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 10503424 is about 3240.8986408094. The cubic root of 10503424 is about 218.9997567465. Note that the first 3 decimals are identical.

Adding to 10503424 its reverse (42430501), we get a palindrome (52933925).

The spelling of 10503424 in words is "ten million, five hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 461 712 922 1424 1844 2848 3688 5696 7376 11392 14752 22784 29504 41029 59008 82058 118016 164116 328232 656464 1312928 2625856 5251712 10503424