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65360064 = 2637114421
BaseRepresentation
bin1111100101010…
…1000011000000
311112222122011010
43321111003000
5113213010224
610252520520
71422360060
oct371250300
9145878133
1065360064
1133991a90
1219a80140
13107058c3
1489753a0
155b10e29
hex3e550c0

65360064 has 112 divisors (see below), whose sum is σ = 215652096. Its totient is φ = 16972800.

The previous prime is 65360063. The next prime is 65360081. The reversal of 65360064 is 46006356.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (65360063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12574 + ... + 16994.

Almost surely, 265360064 is an apocalyptic number.

65360064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107826048).

65360064 is an abundant number, since it is smaller than the sum of its proper divisors (150292032).

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

65360064 is a wasteful number, since it uses less digits than its factorization.

65360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 65360064 is about 8084.5571307277. The cubic root of 65360064 is about 402.8136289920.

The spelling of 65360064 in words is "sixty-five million, three hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4421 4928 7392 8842 13263 14784 17684 26526 30947 35368 48631 53052 61894 70736 92841 97262 106104 123788 141472 145893 185682 194524 212208 247576 282944 291786 340417 371364 389048 424416 495152 583572 680834 742728 778096 848832 990304 1021251 1167144 1361668 1485456 1556192 1980608 2042502 2334288 2723336 2970912 3112384 4085004 4668576 5446672 5941824 8170008 9337152 10893344 16340016 21786688 32680032 65360064