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20617984 = 28431873
BaseRepresentation
bin100111010100…
…1101100000000
31102210111120001
41032221230000
520234233414
62013525344
7340151512
oct116515400
942714501
1020617984
1110702662
126aa3854
13436b7ba
142a49bb2
151c24074
hex13a9b00

20617984 has 36 divisors (see below), whose sum is σ = 42135016. Its totient is φ = 10063872.

The previous prime is 20617981. The next prime is 20617999. The reversal of 20617984 is 48971602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20617981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10072 + ... + 11944.

Almost surely, 220617984 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 20617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067508).

20617984 is an abundant number, since it is smaller than the sum of its proper divisors (21517032).

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

20617984 is an equidigital number, since it uses as much as digits as its factorization.

20617984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 20617984 is about 4540.7030292676. The cubic root of 20617984 is about 274.2092280119.

The spelling of 20617984 in words is "twenty million, six hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1376 1873 2752 3746 5504 7492 11008 14984 29968 59936 80539 119872 161078 239744 322156 479488 644312 1288624 2577248 5154496 10308992 20617984