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68937 = 3112089
BaseRepresentation
bin10000110101001001
310111120020
4100311021
54201222
61251053
7404661
oct206511
9114506
1068937
1147880
1233a89
13254bb
141b1a1
151565c
hex10d49

68937 has 8 divisors (see below), whose sum is σ = 100320. Its totient is φ = 41760.

The previous prime is 68927. The next prime is 68947. The reversal of 68937 is 73986.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68927) and next prime (68947).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 68937 - 211 = 66889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 2089 = 68937 / (6 + 8 + 9 + 3 + 7).

It is a junction number, because it is equal to n+sod(n) for n = 68898 and 68907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68937.

It is not an unprimeable number, because it can be changed into a prime (68917) 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 7 ways as a sum of consecutive naturals, for example, 1012 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (12540).

268937 is an apocalyptic number.

It is an amenable number.

68937 is a deficient number, since it is larger than the sum of its proper divisors (31383).

68937 is a wasteful number, since it uses less digits than its factorization.

68937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103.

The product of its digits is 9072, while the sum is 33.

The square root of 68937 is about 262.5585648955. The cubic root of 68937 is about 41.0031724692.

The spelling of 68937 in words is "sixty-eight thousand, nine hundred thirty-seven".

Divisors: 1 3 11 33 2089 6267 22979 68937