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20166048 = 2532721429
BaseRepresentation
bin100110011101…
…1010110100000
31101221112121200
41030323112200
520130303143
62000121200
7333260100
oct114732640
941845550
1020166048
1110424061
126906200
134240b96
14296d200
151b851d3
hex133b5a0

20166048 has 108 divisors (see below), whose sum is σ = 66756690. Its totient is φ = 5757696.

The previous prime is 20166001. The next prime is 20166053. The reversal of 20166048 is 84066102.

It can be written as a sum of positive squares in only one way, i.e., 19820304 + 345744 = 4452^2 + 588^2 .

20166048 is a modest number, since divided by 6048 gives 2016 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13398 + ... + 14826.

Almost surely, 220166048 is an apocalyptic number.

20166048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20166048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33378345).

20166048 is an abundant number, since it is smaller than the sum of its proper divisors (46590642).

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

20166048 is a wasteful number, since it uses less digits than its factorization.

20166048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20166048 is about 4490.6623119535. The cubic root of 20166048 is about 272.1908982854.

The spelling of 20166048 in words is "twenty million, one hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1429 1568 1764 2016 2352 2858 3528 4287 4704 5716 7056 8574 10003 11432 12861 14112 17148 20006 22864 25722 30009 34296 40012 45728 51444 60018 68592 70021 80024 90027 102888 120036 137184 140042 160048 180054 205776 210063 240072 280084 320096 360108 411552 420126 480144 560168 630189 720216 840252 960288 1120336 1260378 1440432 1680504 2240672 2520756 2880864 3361008 5041512 6722016 10083024 20166048