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67668832 = 2571129947
BaseRepresentation
bin1000000100010…
…00101101100000
311201022221012001
410002020231200
5114310400312
610414213344
71451114140
oct402105540
9151287161
1067668832
1135219660
121a7b4254
131103373a
148db6920
155e1a057
hex4088b60

67668832 has 96 divisors (see below), whose sum is σ = 172005120. Its totient is φ = 25428480.

The previous prime is 67668791. The next prime is 67668859. The reversal of 67668832 is 23886676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70983 + ... + 71929.

It is an arithmetic number, because the mean of its divisors is an integer number (1791720).

Almost surely, 267668832 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 67668832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86002560).

67668832 is an abundant number, since it is smaller than the sum of its proper divisors (104336288).

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

67668832 is a wasteful number, since it uses less digits than its factorization.

67668832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 996 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 67668832 is about 8226.1067340510. The cubic root of 67668832 is about 407.5018269330.

The spelling of 67668832 in words is "sixty-seven million, six hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 308 319 352 406 464 616 638 812 928 947 1232 1276 1624 1894 2233 2464 2552 3248 3788 4466 5104 6496 6629 7576 8932 10208 10417 13258 15152 17864 20834 26516 27463 30304 35728 41668 53032 54926 71456 72919 83336 106064 109852 145838 166672 192241 212128 219704 291676 302093 333344 384482 439408 583352 604186 768964 878816 1166704 1208372 1537928 2114651 2333408 2416744 3075856 4229302 4833488 6151712 8458604 9666976 16917208 33834416 67668832