Search a number
-
+
65087064 = 233574783
BaseRepresentation
bin1111100001001…
…0011001011000
311112110202200000
43320102121120
5113130241224
610243013000
71420142130
oct370223130
9145422600
1065087064
1133815969
121996a160
131063b573
148903ac0
155aaa0c9
hex3e12658

65087064 has 96 divisors (see below), whose sum is σ = 208965120. Its totient is φ = 18592416.

The previous prime is 65087053. The next prime is 65087093. The reversal of 65087064 is 46078056.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11217 + ... + 15999.

It is an arithmetic number, because the mean of its divisors is an integer number (2176720).

Almost surely, 265087064 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 65087064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104482560).

65087064 is an abundant number, since it is smaller than the sum of its proper divisors (143878056).

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

65087064 is a wasteful number, since it uses less digits than its factorization.

65087064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 65087064 is about 8067.6554214964. The cubic root of 65087064 is about 402.2520139553.

The spelling of 65087064 in words is "sixty-five million, eighty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 4783 6804 9566 13608 14349 19132 28698 33481 38264 43047 57396 66962 86094 100443 114792 129141 133924 172188 200886 258282 267848 301329 344376 387423 401772 516564 602658 774846 803544 903987 1033128 1162269 1205316 1549692 1807974 2324538 2410632 2711961 3099384 3615948 4649076 5423922 7231896 8135883 9298152 10847844 16271766 21695688 32543532 65087064