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20618928 = 2433114339
BaseRepresentation
bin100111010100…
…1111010110000
31102210112212000
41032221322300
520234301203
62013534000
7340154331
oct116517260
942715760
1020618928
1110703340
126aa4300
13436c065
142a4a288
151c244a3
hex13a9eb0

20618928 has 80 divisors (see below), whose sum is σ = 64579200. Its totient is φ = 6246720.

The previous prime is 20618903. The next prime is 20618929. The reversal of 20618928 is 82981602.

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 = 20618892 and 20618901.

It is not an unprimeable number, because it can be changed into a prime (20618929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2583 + ... + 6921.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 220618928 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 20618928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32289600).

20618928 is an abundant number, since it is smaller than the sum of its proper divisors (43960272).

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

20618928 is a wasteful number, since it uses less digits than its factorization.

20618928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 20618928 is about 4540.8069767388. The cubic root of 20618928 is about 274.2134128627.

The spelling of 20618928 in words is "twenty million, six hundred eighteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4339 4752 8678 13017 17356 26034 34712 39051 47729 52068 69424 78102 95458 104136 117153 143187 156204 190916 208272 234306 286374 312408 381832 429561 468612 572748 624816 763664 859122 937224 1145496 1288683 1718244 1874448 2290992 2577366 3436488 5154732 6872976 10309464 20618928