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20819058 = 2313892999
BaseRepresentation
bin100111101101…
…0110001110010
31110011201101020
41033122301302
520312202213
62022120310
7341646651
oct117326162
943151336
1020819058
111082a737
126b80096
13440c190
142a9d198
151c63923
hex13dac72

20819058 has 32 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 6331776.

The previous prime is 20819053. The next prime is 20819059. The reversal of 20819058 is 85091802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20819053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5443 + ... + 8441.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 220819058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20819058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

20819058 is an abundant number, since it is smaller than the sum of its proper divisors (24540942).

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

20819058 is a wasteful number, since it uses less digits than its factorization.

20819058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106.

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 20819058 is about 4562.7905934855. The cubic root of 20819058 is about 275.0977415647.

The spelling of 20819058 in words is "twenty million, eight hundred nineteen thousand, fifty-eight".

Divisors: 1 2 3 6 13 26 39 78 89 178 267 534 1157 2314 2999 3471 5998 6942 8997 17994 38987 77974 116961 233922 266911 533822 800733 1601466 3469843 6939686 10409529 20819058