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65868768 = 2533710891
BaseRepresentation
bin1111101101000…
…1001111100000
311120221110222000
43323101033200
5113330300033
610311444000
71426606140
oct373211740
9146843860
1065868768
11341aa1a9
121a086600
1310853304
148a68920
155bb1a13
hex3ed13e0

65868768 has 96 divisors (see below), whose sum is σ = 219582720. Its totient is φ = 18817920.

The previous prime is 65868743. The next prime is 65868779. The reversal of 65868768 is 86786856.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603 + ... + 11493.

It is an arithmetic number, because the mean of its divisors is an integer number (2287320).

Almost surely, 265868768 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 65868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109791360).

65868768 is an abundant number, since it is smaller than the sum of its proper divisors (153713952).

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

65868768 is a wasteful number, since it uses less digits than its factorization.

65868768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10917 (or 10903 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 65868768 is about 8115.9576144778. The cubic root of 65868768 is about 403.8559758490.

The spelling of 65868768 in words is "sixty-five million, eight hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 10891 21782 32673 43564 65346 76237 87128 98019 130692 152474 174256 196038 228711 261384 294057 304948 348512 392076 457422 522768 588114 609896 686133 784152 914844 1045536 1176228 1219792 1372266 1568304 1829688 2058399 2352456 2439584 2744532 3136608 3659376 4116798 4704912 5489064 7318752 8233596 9409824 10978128 16467192 21956256 32934384 65868768