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20847320 = 2351347853
BaseRepresentation
bin100111110000…
…1101011011000
31110020011010222
41033201223120
520314103240
62022455212
7342125234
oct117415330
943204128
1020847320
111084999a
126b94508
13441bcc0
142aa95c4
151c6beb5
hex13e1ad8

20847320 has 64 divisors (see below), whose sum is σ = 51649920. Its totient is φ = 7524864.

The previous prime is 20847319. The next prime is 20847331. The reversal of 20847320 is 2374802.

It is a super-2 number, since 2×208473202 = 869221502364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20847320.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24014 + ... + 24866.

It is an arithmetic number, because the mean of its divisors is an integer number (807030).

Almost surely, 220847320 is an apocalyptic number.

20847320 is a gapful number since it is divisible by the number (20) 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 20847320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25824960).

20847320 is an abundant number, since it is smaller than the sum of its proper divisors (30802600).

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

20847320 is a wasteful number, since it uses less digits than its factorization.

20847320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 20847320 is about 4565.8865513720. The cubic root of 20847320 is about 275.2221675739. Note that the first 3 decimals are identical.

The spelling of 20847320 in words is "twenty million, eight hundred forty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 520 611 853 940 1222 1706 1880 2444 3055 3412 4265 4888 6110 6824 8530 11089 12220 17060 22178 24440 34120 40091 44356 55445 80182 88712 110890 160364 200455 221780 320728 400910 443560 521183 801820 1042366 1603640 2084732 2605915 4169464 5211830 10423660 20847320