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68427975 = 35271117241
BaseRepresentation
bin1000001010000…
…10000011000111
311202202111112110
410011002003013
5120004143400
610442352103
71460425320
oct405020307
9152674473
1068427975
1135697a50
121aabb633
131123b135
149133447
156019e50
hex41420c7

68427975 has 144 divisors (see below), whose sum is σ = 153490176. Its totient is φ = 26112000.

The previous prime is 68427973. The next prime is 68427977. The reversal of 68427975 is 57972486.

It is an interprime number because it is at equal distance from previous prime (68427973) and next prime (68427977).

It is not a de Polignac number, because 68427975 - 21 = 68427973 is a prime.

Its product of digits (846720) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68427973) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1668955 + ... + 1668995.

It is an arithmetic number, because the mean of its divisors is an integer number (1065904).

Almost surely, 268427975 is an apocalyptic number.

68427975 is an abundant number, since it is smaller than the sum of its proper divisors (85062201).

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

68427975 is a wasteful number, since it uses less digits than its factorization.

68427975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 68427975 is about 8272.1203448693. The cubic root of 68427975 is about 409.0200172332.

The spelling of 68427975 in words is "sixty-eight million, four hundred twenty-seven thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 11 15 17 21 25 33 35 41 51 55 75 77 85 105 119 123 165 175 187 205 231 255 275 287 289 357 385 425 451 525 561 595 615 697 825 861 867 935 1025 1155 1275 1309 1353 1435 1445 1785 1925 2023 2091 2255 2805 2975 3075 3157 3179 3485 3927 4305 4335 4675 4879 5775 6069 6545 6765 7175 7225 7667 8925 9471 9537 10115 10455 11275 11849 14025 14637 15785 15895 17425 19635 21525 21675 22253 23001 24395 30345 32725 33825 35547 38335 47355 47685 50575 52275 53669 59245 66759 73185 78925 79475 82943 98175 111265 115005 121975 130339 151725 161007 177735 191675 236775 238425 248829 268345 296225 333795 365925 391017 414715 556325 575025 651695 805035 888675 912373 1244145 1341725 1668975 1955085 2073575 2737119 3258475 4025175 4561865 6220725 9775425 13685595 22809325 68427975