Search a number
-
+
67971040 = 255424819
BaseRepresentation
bin1000000110100…
…10011111100000
311201220021201221
410003102133200
5114400033130
610424504424
71453513204
oct403223740
9151807657
1067971040
1135405715
121a91b114
131110b167
149054b04
155e7987a
hex40d27e0

67971040 has 24 divisors (see below), whose sum is σ = 160581960. Its totient is φ = 27188352.

The previous prime is 67971017. The next prime is 67971061. The reversal of 67971040 is 4017976.

It is a junction number, because it is equal to n+sod(n) for n = 67970987 and 67971005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212250 + ... + 212569.

It is an arithmetic number, because the mean of its divisors is an integer number (6690915).

Almost surely, 267971040 is an apocalyptic number.

It is an amenable number.

67971040 is an abundant number, since it is smaller than the sum of its proper divisors (92610920).

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

67971040 is a wasteful number, since it uses less digits than its factorization.

67971040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424834 (or 424826 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 67971040 is about 8244.4551063124. The cubic root of 67971040 is about 408.1075584681.

The spelling of 67971040 in words is "sixty-seven million, nine hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 424819 849638 1699276 2124095 3398552 4248190 6797104 8496380 13594208 16992760 33985520 67971040