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64164690 = 23351072221
BaseRepresentation
bin1111010011000…
…1001101010010
311110201220102000
43310301031102
5112411232230
610211134430
71406251032
oct364611522
9143656360
1064164690
1133245977
12195a4416
13103a7795
1487438c2
155976b60
hex3d31352

64164690 has 64 divisors (see below), whose sum is σ = 172782720. Its totient is φ = 16943040.

The previous prime is 64164649. The next prime is 64164719. The reversal of 64164690 is 9646146.

64164690 is a `hidden beast` number, since 6 + 4 + 1 + 646 + 9 + 0 = 666.

64164690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641646902 = 8234214885592200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27780 + ... + 30000.

It is an arithmetic number, because the mean of its divisors is an integer number (2699730).

Almost surely, 264164690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64164690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86391360).

64164690 is an abundant number, since it is smaller than the sum of its proper divisors (108618030).

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

64164690 is a wasteful number, since it uses less digits than its factorization.

64164690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64164690 is about 8010.2865117298. The cubic root of 64164690 is about 400.3428102855.

The spelling of 64164690 in words is "sixty-four million, one hundred sixty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 214 270 321 535 642 963 1070 1605 1926 2221 2889 3210 4442 4815 5778 6663 9630 11105 13326 14445 19989 22210 28890 33315 39978 59967 66630 99945 119934 199890 237647 299835 475294 599670 712941 1188235 1425882 2138823 2376470 3564705 4277646 6416469 7129410 10694115 12832938 21388230 32082345 64164690