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20984032 = 25372479
BaseRepresentation
bin101000000001…
…1000011100000
31110111002200101
41100003003200
520332442112
62025432144
7343234636
oct120030340
943432611
1020984032
1110932683
12703b654
1344692b4
142b03356
151c97757
hex14030e0

20984032 has 36 divisors (see below), whose sum is σ = 42547680. Its totient is φ = 10187136.

The previous prime is 20984021. The next prime is 20984039. The reversal of 20984032 is 23048902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20984039) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 43569 + ... + 44047.

It is an arithmetic number, because the mean of its divisors is an integer number (1181880).

Almost surely, 220984032 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 20984032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273840).

20984032 is an abundant number, since it is smaller than the sum of its proper divisors (21563648).

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

20984032 is an equidigital number, since it uses as much as digits as its factorization.

20984032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 20984032 is about 4580.8331120005. The cubic root of 20984032 is about 275.8224721269.

The spelling of 20984032 in words is "twenty million, nine hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 479 592 958 1184 1369 1916 2738 3832 5476 7664 10952 15328 17723 21904 35446 43808 70892 141784 283568 567136 655751 1311502 2623004 5246008 10492016 20984032