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76309 = 137557
BaseRepresentation
bin10010101000010101
310212200021
4102220111
54420214
61345141
7435322
oct225025
9125607
1076309
1152372
12381b1
132896c
141db49
1517924
hex12a15

76309 has 4 divisors (see below), whose sum is σ = 77004. Its totient is φ = 75616.

The previous prime is 76303. The next prime is 76333. The reversal of 76309 is 90367.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 90367 = 233929.

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 52900 = 153^2 + 230^2 .

It is a cyclic number.

It is not a de Polignac number, because 76309 - 29 = 75797 is a prime.

It is a super-3 number, since 3×763093 = 1333056453514887, which contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (19251).

276309 is an apocalyptic number.

It is an amenable number.

76309 is a deficient number, since it is larger than the sum of its proper divisors (695).

76309 is a wasteful number, since it uses less digits than its factorization.

76309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 76309 is about 276.2408369521. The cubic root of 76309 is about 42.4155647733.

The spelling of 76309 in words is "seventy-six thousand, three hundred nine".

Divisors: 1 137 557 76309