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66978384 = 24311472699
BaseRepresentation
bin1111111110000…
…0001001010000
311200000212001220
43333200021100
5114121302014
610351325040
71442210154
oct377401120
9150025056
1066978384
1134897940
121a520780
1310b513a5
148c77064
155d306a9
hex3fe0250

66978384 has 80 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 19857280.

The previous prime is 66978367. The next prime is 66978389. The reversal of 66978384 is 48387966.

It is a super-2 number, since 2×669783842 = 8972207846502912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66978389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23467 + ... + 26165.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 266978384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66978384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).

66978384 is an abundant number, since it is smaller than the sum of its proper divisors (125866416).

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

66978384 is a wasteful number, since it uses less digits than its factorization.

66978384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2762 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 66978384 is about 8184.0322580009. The cubic root of 66978384 is about 406.1111265286. Note that the first 4 decimals are identical.

The spelling of 66978384 in words is "sixty-six million, nine hundred seventy-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 752 1034 1128 1551 2068 2256 2699 3102 4136 5398 6204 8097 8272 10796 12408 16194 21592 24816 29689 32388 43184 59378 64776 89067 118756 126853 129552 178134 237512 253706 356268 380559 475024 507412 712536 761118 1014824 1395383 1425072 1522236 2029648 2790766 3044472 4186149 5581532 6088944 8372298 11163064 16744596 22326128 33489192 66978384