Search a number
-
+
67960 = 2351699
BaseRepresentation
bin10000100101111000
310110020001
4100211320
54133320
61242344
7402064
oct204570
9113201
1067960
1147072
12333b4
1324c19
141aaa4
151520a
hex10978

67960 has 16 divisors (see below), whose sum is σ = 153000. Its totient is φ = 27168.

The previous prime is 67957. The next prime is 67961. The reversal of 67960 is 6976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67961) 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, 810 + ... + 889.

267960 is an apocalyptic number.

It is an amenable number.

67960 is an abundant number, since it is smaller than the sum of its proper divisors (85040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76500).

67960 is a wasteful number, since it uses less digits than its factorization.

67960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 67960 is about 260.6913884270. The cubic root of 67960 is about 40.8085462041.

The spelling of 67960 in words is "sixty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1699 3398 6796 8495 13592 16990 33980 67960