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293129 is a prime number
BaseRepresentation
bin1000111100100001001
3112220002122
41013210021
533340004
610141025
72330414
oct1074411
9486078
10293129
11190261
12121775
13a3565
1478b7b
155bcbe
hex47909

293129 has 2 divisors, whose sum is σ = 293130. Its totient is φ = 293128.

The previous prime is 293123. The next prime is 293147. The reversal of 293129 is 921392.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273529 + 19600 = 523^2 + 140^2 .

It is a cyclic number.

It is not a de Polignac number, because 293129 - 212 = 289033 is a prime.

It is a super-2 number, since 2×2931292 = 171849221282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 293098 and 293107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 293129.

It is not a weakly prime, because it can be changed into another prime (293123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146564 + 146565.

It is an arithmetic number, because the mean of its divisors is an integer number (146565).

2293129 is an apocalyptic number.

It is an amenable number.

293129 is a deficient number, since it is larger than the sum of its proper divisors (1).

293129 is an equidigital number, since it uses as much as digits as its factorization.

293129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 26.

The square root of 293129 is about 541.4138897369. The cubic root of 293129 is about 66.4282679514.

The spelling of 293129 in words is "two hundred ninety-three thousand, one hundred twenty-nine".