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20420748 = 223647149
BaseRepresentation
bin100110111100…
…1100010001100
31102102111000000
41031321202030
520211430443
62005404300
7335400465
oct115714214
942374000
1020420748
1110588457
126a09690
1342ccaaa
1429d7d6c
151bd58d3
hex137988c

20420748 has 84 divisors (see below), whose sum is σ = 55087200. Its totient is φ = 6617376.

The previous prime is 20420681. The next prime is 20420759. The reversal of 20420748 is 84702402.

It is a super-4 number, since 4×204207484 (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 136978 + ... + 137126.

It is an arithmetic number, because the mean of its divisors is an integer number (655800).

Almost surely, 220420748 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 20420748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27543600).

20420748 is an abundant number, since it is smaller than the sum of its proper divisors (34666452).

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

20420748 is a wasteful number, since it uses less digits than its factorization.

20420748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20420748 is about 4518.9321747510. The cubic root of 20420748 is about 273.3320437509.

The spelling of 20420748 in words is "twenty million, four hundred twenty thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 149 162 188 243 282 298 324 423 447 486 564 596 729 846 894 972 1269 1341 1458 1692 1788 2538 2682 2916 3807 4023 5076 5364 7003 7614 8046 11421 12069 14006 15228 16092 21009 22842 24138 28012 34263 36207 42018 45684 48276 63027 68526 72414 84036 108621 126054 137052 144828 189081 217242 252108 378162 434484 567243 756324 1134486 1701729 2268972 3403458 5105187 6806916 10210374 20420748