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10055056 = 241157131
BaseRepresentation
bin100110010110…
…110110010000
3200220211221111
4212112312100
510033230211
6555303104
7151316014
oct46266620
920824844
1010055056
115748570
12344aa94
13211094b
14149a544
15d39421
hex996d90

10055056 has 20 divisors (see below), whose sum is σ = 21253104. Its totient is φ = 4570400.

The previous prime is 10055053. The next prime is 10055081. The reversal of 10055056 is 65055001.

It is a super-3 number, since 3×100550563 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10055051) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 28390 + ... + 28741.

Almost surely, 210055056 is an apocalyptic number.

10055056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10055056 is an abundant number, since it is smaller than the sum of its proper divisors (11198048).

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

10055056 is a wasteful number, since it uses less digits than its factorization.

10055056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57150 (or 57144 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 10055056 is about 3170.9708292572. The cubic root of 10055056 is about 215.8381274640.

Subtracting 10055056 from its reverse (65055001), we obtain a palindrome (54999945).

The spelling of 10055056 in words is "ten million, fifty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 57131 114262 228524 457048 628441 914096 1256882 2513764 5027528 10055056