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10528672 = 257114273
BaseRepresentation
bin101000001010…
…011110100000
3201210220121211
4220022132200
510143404142
61013355504
7155330560
oct50123640
921726554
1010528672
115a41390
123638b94
1322483ab
141580da0
15dce917
hexa0a7a0

10528672 has 48 divisors (see below), whose sum is σ = 25849152. Its totient is φ = 4101120.

The previous prime is 10528657. The next prime is 10528691. The reversal of 10528672 is 27682501.

It is a super-2 number, since 2×105286722 = 221705868167168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328 + ... + 4600.

It is an arithmetic number, because the mean of its divisors is an integer number (538524).

Almost surely, 210528672 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 10528672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924576).

10528672 is an abundant number, since it is smaller than the sum of its proper divisors (15320480).

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

10528672 is a wasteful number, since it uses less digits than its factorization.

10528672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 10528672 is about 3244.7915187266. The cubic root of 10528672 is about 219.1750926287.

The spelling of 10528672 in words is "ten million, five hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4273 8546 17092 29911 34184 47003 59822 68368 94006 119644 136736 188012 239288 329021 376024 478576 658042 752048 957152 1316084 1504096 2632168 5264336 10528672