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20657024 = 27712273
BaseRepresentation
bin100111011001…
…1001110000000
31102212111002222
41032303032000
520242011044
62014430212
7340403363
oct116631600
942774088
1020657024
1110729a23
126b02368
1343834bb
142a5a0da
151c308ee
hex13b3380

20657024 has 32 divisors (see below), whose sum is σ = 41750640. Its totient is φ = 10178560.

The previous prime is 20656991. The next prime is 20657027. The reversal of 20657024 is 42075602.

It is a Cunningham number, because it is equal to 45452-1.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 20656984 and 20657002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20657027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7952 + ... + 10224.

Almost surely, 220657024 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 20657024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20875320).

20657024 is an abundant number, since it is smaller than the sum of its proper divisors (21093616).

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

20657024 is an equidigital number, since it uses as much as digits as its factorization.

20657024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 20657024 is about 4544.9998899890. Note that the first 3 decimals coincide. The cubic root of 20657024 is about 274.3821899379.

The spelling of 20657024 in words is "twenty million, six hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 2273 4544 4546 9088 9092 18184 36368 72736 145472 161383 290944 322766 645532 1291064 2582128 5164256 10328512 20657024