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165064064 = 2711591987
BaseRepresentation
bin10011101011010…
…10110110000000
3102111121010022212
421311222312000
5314224022224
624213521252
74043010224
oct1165526600
9374533285
10165064064
11851a1090
1247343228
1328274759
1417cca784
15e757d0e
hex9d6ad80

165064064 has 64 divisors (see below), whose sum is σ = 364996800. Its totient is φ = 73720320.

The previous prime is 165064037. The next prime is 165064091. The reversal of 165064064 is 460460561.

It is an interprime number because it is at equal distance from previous prime (165064037) and next prime (165064091).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1650640642 = 54492290448392192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 165064064.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 82079 + ... + 84065.

It is an arithmetic number, because the mean of its divisors is an integer number (5703075).

Almost surely, 2165064064 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 165064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182498400).

165064064 is an abundant number, since it is smaller than the sum of its proper divisors (199932736).

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

165064064 is a wasteful number, since it uses less digits than its factorization.

165064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 165064064 is about 12847.7260244761. The cubic root of 165064064 is about 548.5516316434.

The spelling of 165064064 in words is "one hundred sixty-five million, sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 128 176 236 352 472 649 704 944 1298 1408 1888 1987 2596 3776 3974 5192 7552 7948 10384 15896 20768 21857 31792 41536 43714 63584 83072 87428 117233 127168 174856 234466 254336 349712 468932 699424 937864 1289563 1398848 1875728 2579126 2797696 3751456 5158252 7502912 10316504 15005824 20633008 41266016 82532032 165064064