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10828224 = 2632111709
BaseRepresentation
bin101001010011…
…100111000000
3202101010112100
4221103213000
510233000344
61024030400
7161016111
oct51234700
922333470
1010828224
116126450
123762400
132321844
14161c208
15e3d569
hexa539c0

10828224 has 84 divisors (see below), whose sum is σ = 33878520. Its totient is φ = 3279360.

The previous prime is 10828219. The next prime is 10828231. The reversal of 10828224 is 42282801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5482 + ... + 7190.

Almost surely, 210828224 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 10828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939260).

10828224 is an abundant number, since it is smaller than the sum of its proper divisors (23050296).

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

10828224 is a wasteful number, since it uses less digits than its factorization.

10828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10828224 is about 3290.6266880338. The cubic root of 10828224 is about 221.2342744736.

The spelling of 10828224 in words is "ten million, eight hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 1709 2112 3168 3418 5127 6336 6836 10254 13672 15381 18799 20508 27344 30762 37598 41016 54688 56397 61524 75196 82032 109376 112794 123048 150392 164064 169191 225588 246096 300784 328128 338382 451176 492192 601568 676764 902352 984384 1203136 1353528 1804704 2707056 3609408 5414112 10828224