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60066013 = 7253101229
BaseRepresentation
bin1110010100100…
…0100011011101
311012000200002011
43211020203131
5110334103023
65543231221
71326360400
oct345104335
9135020064
1060066013
11309a6537
1218148511
13c5a1027
147d97d37
15541750d
hex39488dd

60066013 has 24 divisors (see below), whose sum is σ = 72209880. Its totient is φ = 49795200.

The previous prime is 60066001. The next prime is 60066023. The reversal of 60066013 is 31066006.

60066013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45724644 + 14341369 = 6762^2 + 3787^2 .

It is a de Polignac number, because none of the positive numbers 2k-60066013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60066023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262183 + ... + 262411.

It is an arithmetic number, because the mean of its divisors is an integer number (3008745).

Almost surely, 260066013 is an apocalyptic number.

It is an amenable number.

60066013 is a deficient number, since it is larger than the sum of its proper divisors (12143867).

60066013 is a wasteful number, since it uses less digits than its factorization.

60066013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 60066013 is about 7750.2266418473. The cubic root of 60066013 is about 391.6302849160.

The spelling of 60066013 in words is "sixty million, sixty-six thousand, thirteen".

Divisors: 1 7 49 53 101 229 371 707 1603 2597 4949 5353 11221 12137 23129 37471 84959 161903 262297 594713 1133321 1225837 8580859 60066013