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20208672 = 2532116379
BaseRepresentation
bin100110100010…
…1110000100000
31102000201002100
41031011300200
520133134142
62001050400
7333525261
oct115056040
942021070
1020208672
1110453090
126926a00
1342573c3
142980968
151b92b4c
hex1345c20

20208672 has 72 divisors (see below), whose sum is σ = 62702640. Its totient is φ = 6122880.

The previous prime is 20208641. The next prime is 20208691. The reversal of 20208672 is 27680202.

It is a tau number, because it is divible by the number of its divisors (72).

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, 22 + ... + 6357.

It is an arithmetic number, because the mean of its divisors is an integer number (870870).

Almost surely, 220208672 is an apocalyptic number.

20208672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20208672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31351320).

20208672 is an abundant number, since it is smaller than the sum of its proper divisors (42493968).

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

20208672 is a wasteful number, since it uses less digits than its factorization.

20208672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20208672 is about 4495.4056546657. The cubic root of 20208672 is about 272.3825355749.

Adding to 20208672 its reverse (27680202), we get a palindrome (47888874).

The spelling of 20208672 in words is "twenty million, two hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 6379 12758 19137 25516 38274 51032 57411 70169 76548 102064 114822 140338 153096 204128 210507 229644 280676 306192 421014 459288 561352 612384 631521 842028 918576 1122704 1263042 1684056 1837152 2245408 2526084 3368112 5052168 6736224 10104336 20208672