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20647936 = 212712
BaseRepresentation
bin100111011000…
…1000000000000
31102212000122101
41032301000000
520241213221
62014320144
7340335031
oct116610000
942760571
1020647936
1110723111
126ab9054
13437c31a
142a56a88
151c2cd91
hex13b1000

20647936 has 39 divisors (see below), whose sum is σ = 41880583. Its totient is φ = 10178560.

The previous prime is 20647933. The next prime is 20647943. The reversal of 20647936 is 63974602.

The square root of 20647936 is 4544.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×206479362 = 852674522120192, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20647895 and 20647904.

It is not an unprimeable number, because it can be changed into a prime (20647933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 290781 + ... + 290851.

Almost surely, 220647936 is an apocalyptic number.

20647936 is the 4544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20647936

20647936 is an abundant number, since it is smaller than the sum of its proper divisors (21232647).

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

20647936 is an frugal number, since it uses more digits than its factorization.

20647936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The cubic root of 20647936 is about 274.3419461430.

It can be divided in two parts, 2064 and 7936, that added together give a 4-th power (10000 = 104).

The spelling of 20647936 in words is "twenty million, six hundred forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1024 1136 2048 2272 4096 4544 5041 9088 10082 18176 20164 36352 40328 72704 80656 145408 161312 290816 322624 645248 1290496 2580992 5161984 10323968 20647936