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10525312 = 27717691
BaseRepresentation
bin101000001001…
…101010000000
3201210202000101
4220021222000
510143302222
61013332144
7155315020
oct50115200
921722011
1010525312
115a39906
123637054
1322469c5
14157da80
15dcd927
hexa09a80

10525312 has 64 divisors (see below), whose sum is σ = 25410240. Its totient is φ = 4239360.

The previous prime is 10525301. The next prime is 10525343. The reversal of 10525312 is 21352501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105253122 = 221564385394688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10525312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14887 + ... + 15577.

It is an arithmetic number, because the mean of its divisors is an integer number (397035).

Almost surely, 210525312 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 10525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705120).

10525312 is an abundant number, since it is smaller than the sum of its proper divisors (14884928).

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

10525312 is an equidigital number, since it uses as much as digits as its factorization.

10525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 10525312 is about 3244.2737245800. The cubic root of 10525312 is about 219.1517751371.

Adding to 10525312 its reverse (21352501), we get a palindrome (31877813).

The spelling of 10525312 in words is "ten million, five hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 691 896 952 1088 1382 1904 2176 2764 3808 4837 5528 7616 9674 11056 11747 15232 19348 22112 23494 38696 44224 46988 77392 82229 88448 93976 154784 164458 187952 309568 328916 375904 619136 657832 751808 1315664 1503616 2631328 5262656 10525312