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20106257 = 178997137
BaseRepresentation
bin100110010110…
…0110000010001
31101211111121012
41030230300101
520121400012
61554540305
7332620553
oct114546021
941744535
1020106257
1110393146
126897695
13421c8c2
1429554d3
151b72622
hex132cc11

20106257 has 16 divisors (see below), whose sum is σ = 21908880. Its totient is φ = 18382848.

The previous prime is 20106253. The next prime is 20106283. The reversal of 20106257 is 75260102.

It is a Cunningham number, because it is equal to 44842+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 20106256 = 1^2 + 4484^2 .

It is not a de Polignac number, because 20106257 - 22 = 20106253 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20106253) 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, 146693 + ... + 146829.

It is an arithmetic number, because the mean of its divisors is an integer number (1369305).

Almost surely, 220106257 is an apocalyptic number.

It is an amenable number.

20106257 is a deficient number, since it is larger than the sum of its proper divisors (1802623).

20106257 is a wasteful number, since it uses less digits than its factorization.

20106257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 20106257 is about 4484.0001115076. Note that the first 3 decimals coincide. The cubic root of 20106257 is about 271.9216226382.

Adding to 20106257 its reverse (75260102), we get a palindrome (95366359).

The spelling of 20106257 in words is "twenty million, one hundred six thousand, two hundred fifty-seven".

Divisors: 1 17 89 97 137 1513 1649 2329 8633 12193 13289 146761 207281 225913 1182721 20106257