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10527264 = 2532113323
BaseRepresentation
bin101000001010…
…001000100000
3201210211200200
4220022020200
510143333024
61013345200
7155323506
oct50121040
921724620
1010527264
115a40320
123638200
132247867
141580676
15dce2c9
hexa0a220

10527264 has 72 divisors (see below), whose sum is σ = 32668272. Its totient is φ = 3189120.

The previous prime is 10527247. The next prime is 10527269. The reversal of 10527264 is 46272501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105272642 = 221646574651392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10527269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1507 + ... + 4829.

It is an arithmetic number, because the mean of its divisors is an integer number (453726).

Almost surely, 210527264 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 10527264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16334136).

10527264 is an abundant number, since it is smaller than the sum of its proper divisors (22141008).

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

10527264 is a wasteful number, since it uses less digits than its factorization.

10527264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10527264 is about 3244.5745483807. The cubic root of 10527264 is about 219.1653220933.

Adding to 10527264 its reverse (46272501), we get a palindrome (56799765).

The spelling of 10527264 in words is "ten million, five hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3323 6646 9969 13292 19938 26584 29907 36553 39876 53168 59814 73106 79752 106336 109659 119628 146212 159504 219318 239256 292424 319008 328977 438636 478512 584848 657954 877272 957024 1169696 1315908 1754544 2631816 3509088 5263632 10527264