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20208408 = 23311411867
BaseRepresentation
bin100110100010…
…1101100011000
31102000200201120
41031011230120
520133132113
62001045240
7333524433
oct115055430
942020646
1020208408
1110452970
126926820
13425724c
14298081a
151b92a23
hex1345b18

20208408 has 64 divisors (see below), whose sum is σ = 56488320. Its totient is φ = 5971200.

The previous prime is 20208403. The next prime is 20208413. The reversal of 20208408 is 80480202.

It is an interprime number because it is at equal distance from previous prime (20208403) and next prime (20208413).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20208403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9891 + ... + 11757.

It is an arithmetic number, because the mean of its divisors is an integer number (882630).

Almost surely, 220208408 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 20208408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28244160).

20208408 is an abundant number, since it is smaller than the sum of its proper divisors (36279912).

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

20208408 is a wasteful number, since it uses less digits than its factorization.

20208408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 20208408 is about 4495.3762912575. The cubic root of 20208408 is about 272.3813494619.

The spelling of 20208408 in words is "twenty million, two hundred eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 1867 2706 3608 3734 5412 5601 7468 10824 11202 14936 20537 22404 41074 44808 61611 76547 82148 123222 153094 164296 229641 246444 306188 459282 492888 612376 842017 918564 1684034 1837128 2526051 3368068 5052102 6736136 10104204 20208408