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20801248 = 2513311613
BaseRepresentation
bin100111101011…
…0011011100000
31110010210221121
41033112123200
520311114443
62021502024
7341544016
oct117263340
943123847
1020801248
1110818316
126b71914
134404040
142a968b6
151c5d4ed
hex13d66e0

20801248 has 48 divisors (see below), whose sum is σ = 45553536. Its totient is φ = 9285120.

The previous prime is 20801243. The next prime is 20801317. The reversal of 20801248 is 84210802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20801243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12090 + ... + 13702.

It is an arithmetic number, because the mean of its divisors is an integer number (949032).

Almost surely, 220801248 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 20801248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22776768).

20801248 is an abundant number, since it is smaller than the sum of its proper divisors (24752288).

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

20801248 is a wasteful number, since it uses less digits than its factorization.

20801248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 20801248 is about 4560.8385193953. The cubic root of 20801248 is about 275.0192735803.

The spelling of 20801248 in words is "twenty million, eight hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 1613 3224 3226 6448 6452 12896 12904 20969 25808 41938 50003 51616 83876 100006 167752 200012 335504 400024 650039 671008 800048 1300078 1600096 2600156 5200312 10400624 20801248