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67676670 = 23251922083
BaseRepresentation
bin1000000100010…
…10100111111110
311201100022221100
410002022213332
5114311123140
610414313530
71451146035
oct402124776
9151308840
1067676670
1135224536
121a7b88a6
1311037189
148db971c
155e1c530
hex408a9fe

67676670 has 72 divisors (see below), whose sum is σ = 185796936. Its totient is φ = 17089056.

The previous prime is 67676659. The next prime is 67676671. The reversal of 67676670 is 7667676.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67676671) 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 35 ways as a sum of consecutive naturals, for example, 31449 + ... + 33531.

It is an arithmetic number, because the mean of its divisors is an integer number (2580513).

Almost surely, 267676670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67676670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92898468).

67676670 is an abundant number, since it is smaller than the sum of its proper divisors (118120266).

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

67676670 is a wasteful number, since it uses less digits than its factorization.

67676670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 67676670 is about 8226.5831303160. The cubic root of 67676670 is about 407.5175598089.

The spelling of 67676670 in words is "sixty-seven million, six hundred seventy-six thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 570 722 855 1083 1710 1805 2083 2166 3249 3610 4166 5415 6249 6498 10415 10830 12498 16245 18747 20830 31245 32490 37494 39577 62490 79154 93735 118731 187470 197885 237462 356193 395770 593655 712386 751963 1187310 1503926 1780965 2255889 3561930 3759815 4511778 6767667 7519630 11279445 13535334 22558890 33838335 67676670