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67076 = 2241409
BaseRepresentation
bin10000011000000100
310102000022
4100120010
54121301
61234312
7366362
oct203004
9112008
1067076
1146439
1232998
13246b9
141a632
1514d1b
hex10604

67076 has 12 divisors (see below), whose sum is σ = 120540. Its totient is φ = 32640.

The previous prime is 67073. The next prime is 67079.

67076 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (67073) and next prime (67079).

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 36100 = 176^2 + 190^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67076.

It is not an unprimeable number, because it can be changed into a prime (67073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (10045).

267076 is an apocalyptic number.

It is an amenable number.

67076 is a deficient number, since it is larger than the sum of its proper divisors (53464).

67076 is a wasteful number, since it uses less digits than its factorization.

67076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 67076 is about 258.9903473105. The cubic root of 67076 is about 40.6308322987.

The spelling of 67076 in words is "sixty-seven thousand, seventy-six".

Divisors: 1 2 4 41 82 164 409 818 1636 16769 33538 67076