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67082064 = 2437434643
BaseRepresentation
bin1111111111100…
…1011101010000
311200020010021220
43333321131100
5114133111224
610353445040
71443121350
oct377713520
9150203256
1067082064
1134958825
121a570780
1310b8963a
148ca2b60
155d51279
hex3ff9750

67082064 has 80 divisors (see below), whose sum is σ = 202701312. Its totient is φ = 18716544.

The previous prime is 67082023. The next prime is 67082083. The reversal of 67082064 is 46028076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12127 + ... + 16769.

Almost surely, 267082064 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 67082064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101350656).

67082064 is an abundant number, since it is smaller than the sum of its proper divisors (135619248).

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

67082064 is a wasteful number, since it uses less digits than its factorization.

67082064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 67082064 is about 8190.3640944710. The cubic root of 67082064 is about 406.3205667081.

The spelling of 67082064 in words is "sixty-seven million, eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4643 4816 7224 9286 13929 14448 18572 27858 32501 37144 55716 65002 74288 97503 111432 130004 195006 199649 222864 260008 390012 399298 520016 598947 780024 798596 1197894 1397543 1560048 1597192 2395788 2795086 3194384 4192629 4791576 5590172 8385258 9583152 11180344 16770516 22360688 33541032 67082064