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20818944 = 21034251
BaseRepresentation
bin100111101101…
…0110000000000
31110011201020000
41033122300000
520312201234
62022120000
7341646426
oct117326000
943151200
1020818944
111082a643
126b80000
13440c103
142a9d116
151c63899
hex13dac00

20818944 has 110 divisors (see below), whose sum is σ = 62417124. Its totient is φ = 6912000.

The previous prime is 20818921. The next prime is 20818961. The reversal of 20818944 is 44981802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20818899 and 20818908.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82819 + ... + 83069.

Almost surely, 220818944 is an apocalyptic number.

20818944 is a gapful number since it is divisible by the number (24) 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 20818944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31208562).

20818944 is an abundant number, since it is smaller than the sum of its proper divisors (41598180).

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

20818944 is an equidigital number, since it uses as much as digits as its factorization.

20818944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 20818944 is about 4562.7781011134. The cubic root of 20818944 is about 275.0972394415.

It can be divided in two parts, 2081 and 8944, that added together give a square (11025 = 1052).

The spelling of 20818944 in words is "twenty million, eight hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 251 256 288 324 384 432 502 512 576 648 753 768 864 1004 1024 1152 1296 1506 1536 1728 2008 2259 2304 2592 3012 3072 3456 4016 4518 4608 5184 6024 6777 6912 8032 9036 9216 10368 12048 13554 13824 16064 18072 20331 20736 24096 27108 27648 32128 36144 40662 41472 48192 54216 64256 72288 81324 82944 96384 108432 128512 144576 162648 192768 216864 257024 289152 325296 385536 433728 578304 650592 771072 867456 1156608 1301184 1734912 2313216 2602368 3469824 5204736 6939648 10409472 20818944