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20984688 = 2432433389
BaseRepresentation
bin101000000001…
…1001101110000
31110111010120200
41100003031300
520333002223
62025435200
7343236564
oct120031560
943433520
1020984688
111093311a
12703bb00
13446969a
142b036a4
151c97a43
hex1403370

20984688 has 60 divisors (see below), whose sum is σ = 60111480. Its totient is φ = 6830208.

The previous prime is 20984633. The next prime is 20984729. The reversal of 20984688 is 88648902.

It is a happy number.

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, 4498 + ... + 7886.

It is an arithmetic number, because the mean of its divisors is an integer number (1001858).

Almost surely, 220984688 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 20984688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30055740).

20984688 is an abundant number, since it is smaller than the sum of its proper divisors (39126792).

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

20984688 is a wasteful number, since it uses less digits than its factorization.

20984688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 20984688 is about 4580.9047141367. The cubic root of 20984688 is about 275.8253463387.

It can be divided in two parts, 2098 and 4688, that added together give a triangular number (6786 = T116).

The spelling of 20984688 in words is "twenty million, nine hundred eighty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 3389 6192 6778 10167 13556 20334 27112 30501 40668 54224 61002 81336 122004 145727 162672 244008 291454 437181 488016 582908 874362 1165816 1311543 1748724 2331632 2623086 3497448 5246172 6994896 10492344 20984688