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264680029 is a prime number
BaseRepresentation
bin11111100011010…
…11001001011101
3200110001010202001
433301223021131
51020224230104
642133002301
76362512615
oct1761531135
9613033661
10264680029
11126450029
1274783391
1342ab2503
142721ba45
1518383aa4
hexfc6b25d

264680029 has 2 divisors, whose sum is σ = 264680030. Its totient is φ = 264680028.

The previous prime is 264680011. The next prime is 264680057. The reversal of 264680029 is 920086462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259274404 + 5405625 = 16102^2 + 2325^2 .

It is a cyclic number.

It is not a de Polignac number, because 264680029 - 25 = 264679997 is a prime.

It is equal to p14437279 and since 264680029 and 14437279 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264680029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264680069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132340014 + 132340015.

It is an arithmetic number, because the mean of its divisors is an integer number (132340015).

Almost surely, 2264680029 is an apocalyptic number.

It is an amenable number.

264680029 is a deficient number, since it is larger than the sum of its proper divisors (1).

264680029 is an equidigital number, since it uses as much as digits as its factorization.

264680029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 264680029 is about 16268.9897965424. The cubic root of 264680029 is about 642.0572059479.

The spelling of 264680029 in words is "two hundred sixty-four million, six hundred eighty thousand, twenty-nine".