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67288980 = 223511432371
BaseRepresentation
bin1000000001010…
…11111110010100
311200121122010110
410000223332110
5114211221410
610402123020
71444642533
oct400537624
9150548113
1067288980
1134a8a230
121a650470
1310c2c885
148d1831a
155d92720
hex402bf94

67288980 has 96 divisors (see below), whose sum is σ = 210405888. Its totient is φ = 15926400.

The previous prime is 67288967. The next prime is 67288987. The reversal of 67288980 is 8988276.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67288987) 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, 27195 + ... + 29565.

It is an arithmetic number, because the mean of its divisors is an integer number (2191728).

Almost surely, 267288980 is an apocalyptic number.

67288980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67288980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105202944).

67288980 is an abundant number, since it is smaller than the sum of its proper divisors (143116908).

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

67288980 is a wasteful number, since it uses less digits than its factorization.

67288980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 67288980 is about 8202.9860416802. The cubic root of 67288980 is about 406.7379059407.

The spelling of 67288980 in words is "sixty-seven million, two hundred eighty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2371 2580 2838 4730 4742 5676 7095 7113 9460 9484 11855 14190 14226 23710 26081 28380 28452 35565 47420 52162 71130 78243 101953 104324 130405 142260 156486 203906 260810 305859 312972 391215 407812 509765 521620 611718 782430 1019530 1121483 1223436 1529295 1564860 2039060 2242966 3058590 3364449 4485932 5607415 6117180 6728898 11214830 13457796 16822245 22429660 33644490 67288980