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20808440 = 2353197173
BaseRepresentation
bin100111101100…
…0001011111000
31110011011210222
41033120023320
520311332230
62021555212
7341604002
oct117301370
943134728
1020808440
1110822764
126b75b08
1344073b3
142a99372
151c606e5
hex13d82f8

20808440 has 64 divisors (see below), whose sum is σ = 49109760. Its totient is φ = 7925760.

The previous prime is 20808421. The next prime is 20808449. The reversal of 20808440 is 4480802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20808449) 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 15 ways as a sum of consecutive naturals, for example, 120194 + ... + 120366.

It is an arithmetic number, because the mean of its divisors is an integer number (767340).

Almost surely, 220808440 is an apocalyptic number.

20808440 is a gapful number since it is divisible by the number (20) 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 20808440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554880).

20808440 is an abundant number, since it is smaller than the sum of its proper divisors (28301320).

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

20808440 is a wasteful number, since it uses less digits than its factorization.

20808440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 20808440 is about 4561.6269027618. The cubic root of 20808440 is about 275.0509657605.

The spelling of 20808440 in words is "twenty million, eight hundred eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 97 124 155 173 194 248 310 346 388 485 620 692 776 865 970 1240 1384 1730 1940 3007 3460 3880 5363 6014 6920 10726 12028 15035 16781 21452 24056 26815 30070 33562 42904 53630 60140 67124 83905 107260 120280 134248 167810 214520 335620 520211 671240 1040422 2080844 2601055 4161688 5202110 10404220 20808440