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67081968 = 24322232089
BaseRepresentation
bin1111111111100…
…1011011110000
311200020010011100
43333321123300
5114133110333
610353444400
71443121152
oct377713360
9150203140
1067081968
1134958748
121a570700
1310b89595
148ca2ad2
155d51213
hex3ff96f0

67081968 has 60 divisors (see below), whose sum is σ = 188668480. Its totient is φ = 22249728.

The previous prime is 67081957. The next prime is 67082003. The reversal of 67081968 is 86918076.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31068 + ... + 33156.

Almost surely, 267081968 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 67081968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94334240).

67081968 is an abundant number, since it is smaller than the sum of its proper divisors (121586512).

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

67081968 is a wasteful number, since it uses less digits than its factorization.

67081968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 67081968 is about 8190.3582339236. The cubic root of 67081968 is about 406.3203728819.

The spelling of 67081968 in words is "sixty-seven million, eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 669 892 1338 1784 2007 2089 2676 3568 4014 4178 5352 6267 8028 8356 10704 12534 16056 16712 18801 25068 32112 33424 37602 50136 75204 100272 150408 300816 465847 931694 1397541 1863388 2795082 3726776 4192623 5590164 7453552 8385246 11180328 16770492 22360656 33540984 67081968