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66130068 = 223173110457
BaseRepresentation
bin1111110001000…
…1000010010100
311121102202101210
43330101002110
5113412130233
610321221420
71432045014
oct374210224
9147382353
1066130068
1134368554
121a191870
1310915224
148ad5c44
155c14163
hex3f11094

66130068 has 48 divisors (see below), whose sum is σ = 168666624. Its totient is φ = 20075520.

The previous prime is 66130049. The next prime is 66130069. The reversal of 66130068 is 86003166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66130069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096 + ... + 11552.

It is an arithmetic number, because the mean of its divisors is an integer number (3513888).

Almost surely, 266130068 is an apocalyptic number.

66130068 is a gapful number since it is divisible by the number (68) 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 66130068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84333312).

66130068 is an abundant number, since it is smaller than the sum of its proper divisors (102536556).

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

66130068 is a wasteful number, since it uses less digits than its factorization.

66130068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66130068 is about 8132.0395965588. The cubic root of 66130068 is about 404.3893005923.

The spelling of 66130068 in words is "sixty-six million, one hundred thirty thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 6324 10457 20914 31371 41828 62742 125484 177769 324167 355538 533307 648334 711076 972501 1066614 1296668 1945002 2133228 3890004 5510839 11021678 16532517 22043356 33065034 66130068