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606057985 = 513109113757
BaseRepresentation
bin100100000111111…
…011011000000001
31120020101221021001
4210013323120001
52220122323420
6140045532001
721006256621
oct4407733001
91506357231
10606057985
11291116375
1214ab74001
139873a0c0
145a6c2881
1538317b0a
hex241fb601

606057985 has 32 divisors (see below), whose sum is σ = 798446880. Its totient is φ = 438939648.

The previous prime is 606057983. The next prime is 606058003. The reversal of 606057985 is 589750606.

It can be written as a sum of positive squares in 16 ways, for example, as 326633329 + 279424656 = 18073^2 + 16716^2 .

It is a 3-Lehmer number, since φ(606057985) divides (606057985-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 606057985 - 21 = 606057983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (606057983) 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 31 ways as a sum of consecutive naturals, for example, 800227 + ... + 800983.

It is an arithmetic number, because the mean of its divisors is an integer number (24951465).

It is a Poulet number, since it divides 2606057984-1.

Almost surely, 2606057985 is an apocalyptic number.

606057985 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

606057985 is a deficient number, since it is larger than the sum of its proper divisors (192388895).

606057985 is a wasteful number, since it uses less digits than its factorization.

606057985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997.

The product of its (nonzero) digits is 453600, while the sum is 46.

The square root of 606057985 is about 24618.2449618164. The cubic root of 606057985 is about 846.2617775111.

The spelling of 606057985 in words is "six hundred six million, fifty-seven thousand, nine hundred eighty-five".

Divisors: 1 5 13 65 109 113 545 565 757 1417 1469 3785 7085 7345 9841 12317 49205 61585 82513 85541 160121 412565 427705 800605 1072669 1112033 5363345 5560165 9323969 46619845 121211597 606057985