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65967066 = 232113171051
BaseRepresentation
bin1111101110100…
…1001111011010
311121010110210200
43323221033122
5113341421231
610313523030
71430465544
oct373511732
9147113720
1065967066
1134267040
121a113476
1310888c89
148a92694
155bd0be6
hex3ee93da

65967066 has 48 divisors (see below), whose sum is σ = 156562848. Its totient is φ = 19908000.

The previous prime is 65967043. The next prime is 65967103. The reversal of 65967066 is 66076956.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62241 + ... + 63291.

It is an arithmetic number, because the mean of its divisors is an integer number (3261726).

Almost surely, 265967066 is an apocalyptic number.

65967066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 65967066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78281424).

65967066 is an abundant number, since it is smaller than the sum of its proper divisors (90595782).

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

65967066 is a wasteful number, since it uses less digits than its factorization.

65967066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 65967066 is about 8122.0112041292. The cubic root of 65967066 is about 404.0567715860.

The spelling of 65967066 in words is "sixty-five million, nine hundred sixty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 317 634 951 1051 1902 2102 2853 3153 3487 5706 6306 6974 9459 10461 11561 18918 20922 23122 31383 34683 62766 69366 104049 208098 333167 666334 999501 1999002 2998503 3664837 5997006 7329674 10994511 21989022 32983533 65967066