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20007149 is a prime number
BaseRepresentation
bin100110001010…
…0100011101101
31101122110122112
41030110203231
520110212044
61552453405
7332025611
oct114244355
941573575
1020007149
1110325738
12684a265
1341b6766
14292b341
151b5309e
hex13148ed

20007149 has 2 divisors, whose sum is σ = 20007150. Its totient is φ = 20007148.

The previous prime is 20007107. The next prime is 20007157. The reversal of 20007149 is 94170002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13468900 + 6538249 = 3670^2 + 2557^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20007149 is a prime.

It is a super-2 number, since 2×200071492 = 800572022216402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20007049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10003574 + 10003575.

It is an arithmetic number, because the mean of its divisors is an integer number (10003575).

Almost surely, 220007149 is an apocalyptic number.

It is an amenable number.

20007149 is a deficient number, since it is larger than the sum of its proper divisors (1).

20007149 is an equidigital number, since it uses as much as digits as its factorization.

20007149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 20007149 is about 4472.9351660850. The cubic root of 20007149 is about 271.4741000926.

The spelling of 20007149 in words is "twenty million, seven thousand, one hundred forty-nine".