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10530528 = 253432551
BaseRepresentation
bin101000001010…
…111011100000
3201211000011120
4220022323200
510143434103
61013412240
7155336151
oct50127340
921730146
1010530528
115a42818
12363a080
1322491a8
141581928
15dd0253
hexa0aee0

10530528 has 48 divisors (see below), whose sum is σ = 28296576. Its totient is φ = 3427200.

The previous prime is 10530521. The next prime is 10530529. The reversal of 10530528 is 82503501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105305282 = 221784039917568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10530498 and 10530507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2853 + ... + 5403.

It is an arithmetic number, because the mean of its divisors is an integer number (589512).

Almost surely, 210530528 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 10530528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148288).

10530528 is an abundant number, since it is smaller than the sum of its proper divisors (17766048).

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

10530528 is a wasteful number, since it uses less digits than its factorization.

10530528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 10530528 is about 3245.0775029265. The cubic root of 10530528 is about 219.1879706401.

The spelling of 10530528 in words is "ten million, five hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 2551 4128 5102 7653 10204 15306 20408 30612 40816 61224 81632 109693 122448 219386 244896 329079 438772 658158 877544 1316316 1755088 2632632 3510176 5265264 10530528