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6754028085 = 3257232334001
BaseRepresentation
bin1100100101001001…
…00100101000110101
3122102200220011202100
412102210210220311
5102313012344320
63034110132313
7326241201660
oct62244445065
918380804670
106754028085
1129565222a2
121385ab1099
13838373b2c
1448100c6d7
15297e2d790
hex192924a35

6754028085 has 96 divisors (see below), whose sum is σ = 14024544768. Its totient is φ = 2939904000.

The previous prime is 6754028077. The next prime is 6754028093. The reversal of 6754028085 is 5808204576.

6754028085 is a `hidden beast` number, since 6 + 7 + 540 + 28 + 0 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (6754028077) and next prime (6754028093).

It is not a de Polignac number, because 6754028085 - 23 = 6754028077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6754028085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1686085 + ... + 1690085.

It is an arithmetic number, because the mean of its divisors is an integer number (146089008).

Almost surely, 26754028085 is an apocalyptic number.

It is an amenable number.

6754028085 is an abundant number, since it is smaller than the sum of its proper divisors (7270516683).

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

6754028085 is a wasteful number, since it uses less digits than its factorization.

6754028085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 6754028085 is about 82182.8941142863. The cubic root of 6754028085 is about 1890.2574311309.

The spelling of 6754028085 in words is "six billion, seven hundred fifty-four million, twenty-eight thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 233 315 345 483 699 805 1035 1165 1449 1631 2097 2415 3495 4001 4893 5359 7245 8155 10485 12003 14679 16077 20005 24465 26795 28007 36009 37513 48231 60015 73395 80385 84021 92023 112539 140035 180045 187565 241155 252063 276069 337617 420105 460115 562695 644161 828207 932233 1260315 1380345 1688085 1932483 2796699 3220805 4141035 4661165 5797449 6525631 8390097 9662415 13983495 19576893 21441359 28987245 32628155 41950485 58730679 64324077 97884465 107206795 150089513 192972231 293653395 321620385 450268539 750447565 964861155 1350805617 2251342695 6754028085