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68540175 = 34521117181
BaseRepresentation
bin1000001010111…
…01011100001111
311202222012110000
410011131130033
5120021241200
610445015343
71461403404
oct405353417
9152865400
1068540175
1135764280
121ab54553
131127a222
1491622ab
15603d300
hex415d70f

68540175 has 120 divisors (see below), whose sum is σ = 147459312. Its totient is φ = 31104000.

The previous prime is 68540119. The next prime is 68540179. The reversal of 68540175 is 57104586.

It is not a de Polignac number, because 68540175 - 26 = 68540111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68540179) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 378585 + ... + 378765.

Almost surely, 268540175 is an apocalyptic number.

68540175 is an abundant number, since it is smaller than the sum of its proper divisors (78919137).

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

68540175 is a wasteful number, since it uses less digits than its factorization.

68540175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 68540175 is about 8278.8993833722. The cubic root of 68540175 is about 409.2434491750.

The spelling of 68540175 in words is "sixty-eight million, five hundred forty thousand, one hundred seventy-five".

Divisors: 1 3 5 9 11 15 17 25 27 33 45 51 55 75 81 85 99 135 153 165 181 187 225 255 275 297 405 425 459 495 543 561 675 765 825 891 905 935 1275 1377 1485 1629 1683 1991 2025 2295 2475 2715 2805 3077 3825 4455 4525 4675 4887 5049 5973 6885 7425 8145 8415 9231 9955 11475 13575 14025 14661 15147 15385 17919 22275 24435 25245 27693 29865 33847 34425 40725 42075 46155 49775 53757 73305 75735 76925 83079 89595 101541 122175 126225 138465 149325 161271 169235 230775 249237 268785 304623 366525 378675 415395 447975 507705 692325 806355 846175 913869 1246185 1343925 1523115 2076975 2538525 2741607 4031775 4569345 6230925 7615575 13708035 22846725 68540175