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10331984 = 241323821
BaseRepresentation
bin100111011010…
…011101010000
3201102220211002
4213122131100
510121110414
61005241132
7153551255
oct47323520
921386732
1010331984
115917633
1235631a8
1321a9a00
14152d42c
15d914de
hex9da750

10331984 has 30 divisors (see below), whose sum is σ = 21682206. Its totient is φ = 4767360.

The previous prime is 10331977. The next prime is 10331987. The reversal of 10331984 is 48913301.

10331984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 547600 + 9784384 = 740^2 + 3128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331987) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 794 + ... + 4614.

Almost surely, 210331984 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 10331984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841103).

10331984 is an abundant number, since it is smaller than the sum of its proper divisors (11350222).

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

10331984 is a wasteful number, since it uses less digits than its factorization.

10331984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10331984 is about 3214.3403677893. The cubic root of 10331984 is about 217.8016881826.

The spelling of 10331984 in words is "ten million, three hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 3821 7642 15284 30568 49673 61136 99346 198692 397384 645749 794768 1291498 2582996 5165992 10331984