Search a number
-
+
67668804 = 22337219673
BaseRepresentation
bin1000000100010…
…00101101000100
311201022221011000
410002020231010
5114310400204
610414213300
71451114100
oct402105504
9151287130
1067668804
1135219635
121a7b4230
1311033718
148db6900
155e1a039
hex4088b44

67668804 has 144 divisors (see below), whose sum is σ = 215140800. Its totient is φ = 18289152.

The previous prime is 67668791. The next prime is 67668859. The reversal of 67668804 is 40886676.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 67668804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100212 + ... + 100884.

Almost surely, 267668804 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 67668804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107570400).

67668804 is an abundant number, since it is smaller than the sum of its proper divisors (147471996).

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

67668804 is a wasteful number, since it uses less digits than its factorization.

67668804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 67668804 is about 8226.1050321522. The cubic root of 67668804 is about 407.5017707276.

The spelling of 67668804 in words is "sixty-seven million, six hundred sixty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 673 684 756 798 882 931 1026 1197 1323 1346 1596 1764 1862 2019 2052 2394 2646 2692 2793 3591 3724 4038 4711 4788 5292 5586 6057 7182 8076 8379 9422 11172 12114 12787 14133 14364 16758 18171 18844 24228 25137 25574 28266 32977 33516 36342 38361 42399 50274 51148 56532 65954 72684 76722 84798 89509 98931 100548 115083 127197 131908 153444 169596 179018 197862 230166 254394 268527 296793 345249 358036 395724 460332 508788 537054 593586 626563 690498 805581 890379 1074108 1187172 1253126 1380996 1611162 1780758 1879689 2416743 2506252 3222324 3561516 3759378 4833486 5639067 7518756 9666972 11278134 16917201 22556268 33834402 67668804