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20417928 = 2332347787
BaseRepresentation
bin100110111100…
…0110110001000
31102102100010120
41031320312020
520211333203
62005343240
7335356326
oct115706610
942370116
1020417928
1110586323
126a07b20
1342cb71b
1429d6d16
151bd4b53
hex1378d88

20417928 has 64 divisors (see below), whose sum is σ = 54466560. Its totient is φ = 6363456.

The previous prime is 20417927. The next prime is 20417939. The reversal of 20417928 is 82971402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20417923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25551 + ... + 26337.

It is an arithmetic number, because the mean of its divisors is an integer number (851040).

Almost surely, 220417928 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 20417928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27233280).

20417928 is an abundant number, since it is smaller than the sum of its proper divisors (34048632).

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

20417928 is a wasteful number, since it uses less digits than its factorization.

20417928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 20417928 is about 4518.6201433624. The cubic root of 20417928 is about 273.3194612565.

The spelling of 20417928 in words is "twenty million, four hundred seventeen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 47 69 92 94 138 141 184 188 276 282 376 552 564 787 1081 1128 1574 2162 2361 3148 3243 4324 4722 6296 6486 8648 9444 12972 18101 18888 25944 36202 36989 54303 72404 73978 108606 110967 144808 147956 217212 221934 295912 434424 443868 850747 887736 1701494 2552241 3402988 5104482 6805976 10208964 20417928