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10083928 = 233173557
BaseRepresentation
bin100110011101…
…111001011000
3200222022112211
4212131321120
510040141203
61000044504
7151466131
oct46357130
920868484
1010083928
115768228
123463734
132120b2a
1414a6c88
15d42c6d
hex99de58

10083928 has 32 divisors (see below), whose sum is σ = 19820160. Its totient is φ = 4803840.

The previous prime is 10083923. The next prime is 10083929. The reversal of 10083928 is 82938001.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 10083928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17826 + ... + 18382.

It is an arithmetic number, because the mean of its divisors is an integer number (619380).

Almost surely, 210083928 is an apocalyptic number.

It is an amenable number.

10083928 is a deficient number, since it is larger than the sum of its proper divisors (9736232).

10083928 is a wasteful number, since it uses less digits than its factorization.

10083928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10083928 is about 3175.5201148788. The cubic root of 10083928 is about 216.0445152880.

It can be divided in two parts, 10083 and 928, that added together give a palindrome (11011).

The spelling of 10083928 in words is "ten million, eighty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 31 62 73 124 146 248 292 557 584 1114 2228 2263 4456 4526 9052 17267 18104 34534 40661 69068 81322 138136 162644 325288 1260491 2520982 5041964 10083928