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10286528 = 26722961
BaseRepresentation
bin100111001111…
…010111000000
3201100121110112
4213033113000
510113132103
61004250452
7153301610
oct47172700
921317415
1010286528
11589646a
123540a28
132192105
14151aa40
15d82cd8
hex9cf5c0

10286528 has 28 divisors (see below), whose sum is σ = 23329392. Its totient is φ = 4408320.

The previous prime is 10286527. The next prime is 10286533. The reversal of 10286528 is 82568201.

10286528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10286494 and 10286503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10286527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11033 + ... + 11928.

Almost surely, 210286528 is an apocalyptic number.

It is an amenable number.

10286528 is an abundant number, since it is smaller than the sum of its proper divisors (13042864).

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

10286528 is an equidigital number, since it uses as much as digits as its factorization.

10286528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22980 (or 22970 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 10286528 is about 3207.2617604430. The cubic root of 10286528 is about 217.4818093740.

The spelling of 10286528 in words is "ten million, two hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 22961 45922 91844 160727 183688 321454 367376 642908 734752 1285816 1469504 2571632 5143264 10286528