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20078137 is a prime number
BaseRepresentation
bin100110010010…
…1111000111001
31101210002000201
41030211320321
520120000022
61554202201
7332442562
oct114457071
941702021
1020078137
1110374002
126883361
13420cb71
142949169
151b69127
hex1325e39

20078137 has 2 divisors, whose sum is σ = 20078138. Its totient is φ = 20078136.

The previous prime is 20078131. The next prime is 20078143. The reversal of 20078137 is 73187002.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (20078131) and next prime (20078143).

It can be written as a sum of positive squares in only one way, i.e., 18870336 + 1207801 = 4344^2 + 1099^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20078137 is a prime.

It is not a weakly prime, because it can be changed into another prime (20078131) 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 as a sum of consecutive naturals, namely, 10039068 + 10039069.

It is an arithmetic number, because the mean of its divisors is an integer number (10039069).

Almost surely, 220078137 is an apocalyptic number.

It is an amenable number.

20078137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20078137 is an equidigital number, since it uses as much as digits as its factorization.

20078137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 20078137 is about 4480.8634212616. The cubic root of 20078137 is about 271.7947963888.

The spelling of 20078137 in words is "twenty million, seventy-eight thousand, one hundred thirty-seven".