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76835 = 5112127
BaseRepresentation
bin10010110000100011
310220101202
4102300203
54424320
61351415
7440003
oct226043
9126352
1076835
1152800
123856b
1328c85
1420003
1517b75
hex12c23

76835 has 12 divisors (see below), whose sum is σ = 102144. Its totient is φ = 55440.

The previous prime is 76831. The next prime is 76837. The reversal of 76835 is 53867.

It is not a de Polignac number, because 76835 - 22 = 76831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76798 and 76807.

It is not an unprimeable number, because it can be changed into a prime (76831) 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 11 ways as a sum of consecutive naturals, for example, 542 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (8512).

76835 is a Friedman number, since it can be written as (8+6)^5/7+3, using all its digits and the basic arithmetic operations.

276835 is an apocalyptic number.

76835 is a deficient number, since it is larger than the sum of its proper divisors (25309).

76835 is a wasteful number, since it uses less digits than its factorization.

76835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 76835 is about 277.1912697038. The cubic root of 76835 is about 42.5127989134.

The spelling of 76835 in words is "seventy-six thousand, eight hundred thirty-five".

Divisors: 1 5 11 55 121 127 605 635 1397 6985 15367 76835