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10281984 = 21033347
BaseRepresentation
bin100111001110…
…010000000000
3201100101020020
4213032100000
510113010414
61004213440
7153252426
oct47162000
921311206
1010281984
115893009
12353a280
13219001b
141519116
15d817a9
hex9ce400

10281984 has 44 divisors (see below), whose sum is σ = 27413424. Its totient is φ = 3426304.

The previous prime is 10281949. The next prime is 10282001. The reversal of 10281984 is 48918201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1399 + ... + 4745.

Almost surely, 210281984 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 10281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706712).

10281984 is an abundant number, since it is smaller than the sum of its proper divisors (17131440).

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

10281984 is an equidigital number, since it uses as much as digits as its factorization.

10281984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 10281984 is about 3206.5532897490. The cubic root of 10281984 is about 217.4497809807.

The spelling of 10281984 in words is "ten million, two hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 3347 6694 10041 13388 20082 26776 40164 53552 80328 107104 160656 214208 321312 428416 642624 856832 1285248 1713664 2570496 3427328 5140992 10281984