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768231 = 3337769
BaseRepresentation
bin10111011100011100111
31110000211000
42323203213
5144040411
624244343
76346512
oct2734347
91400730
10768231
11485202
123106b3
1320b899
1415dd79
15102956
hexbb8e7

768231 has 16 divisors (see below), whose sum is σ = 1170400. Its totient is φ = 497664.

The previous prime is 768221. The next prime is 768241. The reversal of 768231 is 132867.

768231 = T185 + T186 + ... + T221.

It is an interprime number because it is at equal distance from previous prime (768221) and next prime (768241).

It is not a de Polignac number, because 768231 - 25 = 768199 is a prime.

It is a super-2 number, since 2×7682312 = 1180357738722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

768231 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 768195 and 768204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (73150).

2768231 is an apocalyptic number.

768231 is a deficient number, since it is larger than the sum of its proper divisors (402169).

768231 is a wasteful number, since it uses less digits than its factorization.

768231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 809 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 768231 is about 876.4878778397. The cubic root of 768231 is about 91.5863200460.

It can be divided in two parts, 768 and 231, that added together give a palindrome (999).

The spelling of 768231 in words is "seven hundred sixty-eight thousand, two hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 769 999 2307 6921 20763 28453 85359 256077 768231