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67938108 = 22372432687
BaseRepresentation
bin1000000110010…
…10011100111100
311201211121120020
410003022130330
5114343004413
610424052140
71453315200
oct403123474
9151747506
1067938108
11353929a7
121a904050
13110c9184
149046b00
155e6ec23
hex40ca73c

67938108 has 72 divisors (see below), whose sum is σ = 188762112. Its totient is φ = 18952416.

The previous prime is 67938083. The next prime is 67938109. The reversal of 67938108 is 80183976.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 67938108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67938109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23941 + ... + 26627.

It is an arithmetic number, because the mean of its divisors is an integer number (2621696).

Almost surely, 267938108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67938108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94381056).

67938108 is an abundant number, since it is smaller than the sum of its proper divisors (120824004).

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

67938108 is a wasteful number, since it uses less digits than its factorization.

67938108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 67938108 is about 8242.4576432033. The cubic root of 67938108 is about 408.0416383879.

The spelling of 67938108 in words is "sixty-seven million, nine hundred thirty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1806 2107 2687 3612 4214 5374 6321 8061 8428 10748 12642 16122 18809 25284 32244 37618 56427 75236 112854 115541 131663 225708 231082 263326 346623 394989 462164 526652 693246 789978 808787 1386492 1579956 1617574 2426361 3235148 4852722 5661509 9705444 11323018 16984527 22646036 33969054 67938108