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10759028 = 2272173229
BaseRepresentation
bin101001000010…
…101101110100
3202020121121112
4221002231310
510223242103
61022334152
7160310300
oct51025564
922217545
1010759028
116089465
12372a358
1322c91b7
141600d00
15e27cd8
hexa42b74

10759028 has 36 divisors (see below), whose sum is σ = 23197860. Its totient is φ = 4338432.

The previous prime is 10759027. The next prime is 10759031. The reversal of 10759028 is 82095701.

It can be written as a sum of positive squares in 2 ways, for example, as 5866084 + 4892944 = 2422^2 + 2212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10758985 and 10759003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10759027) 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 11 ways as a sum of consecutive naturals, for example, 1718 + ... + 4946.

It is an arithmetic number, because the mean of its divisors is an integer number (644385).

Almost surely, 210759028 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 10759028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11598930).

10759028 is an abundant number, since it is smaller than the sum of its proper divisors (12438832).

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

10759028 is a wasteful number, since it uses less digits than its factorization.

10759028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 10759028 is about 3280.0957303103. The cubic root of 10759028 is about 220.7620132176.

The spelling of 10759028 in words is "ten million, seven hundred fifty-nine thousand, twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3229 3332 6458 12916 22603 45206 54893 90412 109786 158221 219572 316442 384251 632884 768502 1537004 2689757 5379514 10759028