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20835808 = 257191487
BaseRepresentation
bin100111101111…
…0110111100000
31110012120100121
41033132313200
520313221213
62022330024
7342046540
oct117366740
943176317
1020835808
1110841284
126b89914
1344169a6
142aa5320
151c6888d
hex13dede0

20835808 has 48 divisors (see below), whose sum is σ = 47222784. Its totient is φ = 8864640.

The previous prime is 20835803. The next prime is 20835809. The reversal of 20835808 is 80853802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20835803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42541 + ... + 43027.

It is an arithmetic number, because the mean of its divisors is an integer number (983808).

Almost surely, 220835808 is an apocalyptic number.

20835808 is a gapful number since it is divisible by the number (28) 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 20835808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611392).

20835808 is an abundant number, since it is smaller than the sum of its proper divisors (26386976).

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

20835808 is a wasteful number, since it uses less digits than its factorization.

20835808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 20835808 is about 4564.6257239778. The cubic root of 20835808 is about 275.1714985356.

The spelling of 20835808 in words is "twenty million, eight hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 191 224 382 487 764 974 1337 1528 1948 2674 3056 3409 3896 5348 6112 6818 7792 10696 13636 15584 21392 27272 42784 54544 93017 109088 186034 372068 651119 744136 1302238 1488272 2604476 2976544 5208952 10417904 20835808