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20882862 = 232711131961
BaseRepresentation
bin100111110101…
…0010110101110
31110021221220100
41033222112232
520321222422
62023331530
7342333660
oct117522656
943257810
1020882862
1110873670
126bb0ba6
134432230
142ab8530
151c777ac
hex13ea5ae

20882862 has 192 divisors, whose sum is σ = 64995840. Its totient is φ = 4665600.

The previous prime is 20882857. The next prime is 20882887. The reversal of 20882862 is 26828802.

It is a super-2 number, since 2×208828622 = 872187850622088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342312 + ... + 342372.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 220882862 is an apocalyptic number.

20882862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20882862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

20882862 is an abundant number, since it is smaller than the sum of its proper divisors (44112978).

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

20882862 is a wasteful number, since it uses less digits than its factorization.

20882862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 20882862 is about 4569.7770186301. Note that the first 3 decimals coincide. The cubic root of 20882862 is about 275.3784849095.

It can be divided in two parts, 2088 and 2862, that added together give a triangular number (4950 = T99).

The spelling of 20882862 in words is "twenty million, eight hundred eighty-two thousand, eight hundred sixty-two".