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10500056 = 237971933
BaseRepresentation
bin101000000011…
…011111011000
3201202110100222
4220003133120
510142000211
61013015212
7155151260
oct50033730
921673328
1010500056
115a21936
123624508
132238368
1415747a0
15dc61db
hexa037d8

10500056 has 32 divisors (see below), whose sum is σ = 22743840. Its totient is φ = 4451328.

The previous prime is 10500037. The next prime is 10500089. The reversal of 10500056 is 65000501.

It is a super-2 number, since 2×105000562 = 220502352006272, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4466 + ... + 6398.

It is an arithmetic number, because the mean of its divisors is an integer number (710745).

Almost surely, 210500056 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 10500056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11371920).

10500056 is an abundant number, since it is smaller than the sum of its proper divisors (12243784).

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

10500056 is a wasteful number, since it uses less digits than its factorization.

10500056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 10500056 is about 3240.3789901800. The cubic root of 10500056 is about 218.9763462843.

Adding to 10500056 its reverse (65000501), we get a palindrome (75500557).

The spelling of 10500056 in words is "ten million, five hundred thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 1933 2716 3866 5432 7732 13531 15464 27062 54124 108248 187501 375002 750004 1312507 1500008 2625014 5250028 10500056