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20802834 = 23213194679
BaseRepresentation
bin100111101011…
…0110100010010
31110010220010100
41033112310102
520311142314
62021513230
7341551443
oct117266422
943126110
1020802834
1110819528
126b72816
134404990
142a972ca
151c5dc09
hex13d6d12

20802834 has 48 divisors (see below), whose sum is σ = 51105600. Its totient is φ = 6062688.

The previous prime is 20802823. The next prime is 20802839. The reversal of 20802834 is 43820802.

It is a junction number, because it is equal to n+sod(n) for n = 20802798 and 20802807.

It is not an unprimeable number, because it can be changed into a prime (20802839) 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 23 ways as a sum of consecutive naturals, for example, 2107 + ... + 6785.

It is an arithmetic number, because the mean of its divisors is an integer number (1064700).

Almost surely, 220802834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20802834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25552800).

20802834 is an abundant number, since it is smaller than the sum of its proper divisors (30302766).

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

20802834 is a wasteful number, since it uses less digits than its factorization.

20802834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20802834 is about 4561.0123876175. The cubic root of 20802834 is about 275.0262630565.

The spelling of 20802834 in words is "twenty million, eight hundred two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 4679 9358 14037 28074 42111 60827 84222 88901 121654 177802 182481 266703 364962 533406 547443 800109 1094886 1155713 1600218 2311426 3467139 6934278 10401417 20802834