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20946944 = 2132557
BaseRepresentation
bin100111111101…
…0000000000000
31110102012210202
41033322000000
520330300234
62024544332
7343021544
oct117720000
943365722
1020946944
1110907827
1270220a8
134455455
142ad3a24
151c8b77e
hex13fa000

20946944 has 28 divisors (see below), whose sum is σ = 41907714. Its totient is φ = 10469376.

The previous prime is 20946943. The next prime is 20946953. The reversal of 20946944 is 44964902.

It can be written as a sum of positive squares in only one way, i.e., 18386944 + 2560000 = 4288^2 + 1600^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20946898 and 20946907.

It is not an unprimeable number, because it can be changed into a prime (20946943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914 + ... + 9470.

Almost surely, 220946944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953857).

20946944 is an abundant number, since it is smaller than the sum of its proper divisors (20960770).

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

20946944 is an frugal number, since it uses more digits than its factorization.

20946944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 20946944 is about 4576.7831497680. The cubic root of 20946944 is about 275.6598764834.

The spelling of 20946944 in words is "twenty million, nine hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2557 4096 5114 8192 10228 20456 40912 81824 163648 327296 654592 1309184 2618368 5236736 10473472 20946944