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67380066 = 23313531811
BaseRepresentation
bin1000000010000…
…10001101100010
311200210021002000
410001002031202
5114222130231
610404104430
71445502225
oct401021542
9150707060
1067380066
1135041706
121a695116
1310c62180
148d3d5bc
155dae6e6
hex4042362

67380066 has 64 divisors (see below), whose sum is σ = 164384640. Its totient is φ = 20329920.

The previous prime is 67380059. The next prime is 67380067. The reversal of 67380066 is 66008376.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 67380066.

It is not an unprimeable number, because it can be changed into a prime (67380067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36301 + ... + 38111.

It is an arithmetic number, because the mean of its divisors is an integer number (2568510).

Almost surely, 267380066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67380066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82192320).

67380066 is an abundant number, since it is smaller than the sum of its proper divisors (97004574).

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

67380066 is a wasteful number, since it uses less digits than its factorization.

67380066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 67380066 is about 8208.5361666987. The cubic root of 67380066 is about 406.9213506626.

The spelling of 67380066 in words is "sixty-seven million, three hundred eighty thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 106 117 159 234 318 351 477 689 702 954 1378 1431 1811 2067 2862 3622 4134 5433 6201 10866 12402 16299 18603 23543 32598 37206 47086 48897 70629 95983 97794 141258 191966 211887 287949 423774 575898 635661 863847 1247779 1271322 1727694 2495558 2591541 3743337 5183082 7486674 11230011 22460022 33690033 67380066