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67671040 = 210513217
BaseRepresentation
bin1000000100010…
…01010000000000
311201100001012211
410002021100000
5114310433130
610414231504
71451123443
oct402112000
9151301184
1067671040
1135220288
121a7b5594
1311034748
148db765a
155e1aa2a
hex4089400

67671040 has 44 divisors (see below), whose sum is σ = 162343476. Its totient is φ = 27066368.

The previous prime is 67671031. The next prime is 67671151. The reversal of 67671040 is 4017676.

It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 41783296 = 5088^2 + 6464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 67670993 and 67671011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1489 + ... + 11728.

Almost surely, 267671040 is an apocalyptic number.

It is an amenable number.

67671040 is an abundant number, since it is smaller than the sum of its proper divisors (94672436).

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

67671040 is a wasteful number, since it uses less digits than its factorization.

67671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13242 (or 13224 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 67671040 is about 8226.2409398218. The cubic root of 67671040 is about 407.5062590781.

The spelling of 67671040 in words is "sixty-seven million, six hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 13217 26434 52868 66085 105736 132170 211472 264340 422944 528680 845888 1057360 1691776 2114720 3383552 4229440 6767104 8458880 13534208 16917760 33835520 67671040