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65134368 = 2534131933
BaseRepresentation
bin1111100001110…
…1111100100000
311112120011120000
43320131330200
5113133244433
610244020000
71420430055
oct370357440
9145504500
1065134368
1133848462
1219991600
1310656c60
14891702c
155ab9113
hex3e1df20

65134368 has 120 divisors (see below), whose sum is σ = 206400348. Its totient is φ = 20030976.

The previous prime is 65134357. The next prime is 65134387. The reversal of 65134368 is 86343156.

It can be written as a sum of positive squares in 2 ways, for example, as 64448784 + 685584 = 8028^2 + 828^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32730 + ... + 34662.

Almost surely, 265134368 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 65134368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103200174).

65134368 is an abundant number, since it is smaller than the sum of its proper divisors (141265980).

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

65134368 is a wasteful number, since it uses less digits than its factorization.

65134368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1951 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 65134368 is about 8070.5865957810. The cubic root of 65134368 is about 402.3494399782.

The spelling of 65134368 in words is "sixty-five million, one hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 1933 2106 2592 2808 3744 3866 4212 5616 5799 7732 8424 11232 11598 15464 16848 17397 23196 25129 30928 33696 34794 46392 50258 52191 61856 69588 75387 92784 100516 104382 139176 150774 156573 185568 201032 208764 226161 278352 301548 313146 402064 417528 452322 556704 603096 626292 678483 804128 835056 904644 1206192 1252584 1356966 1670112 1809288 2035449 2412384 2505168 2713932 3618576 4070898 5010336 5427864 7237152 8141796 10855728 16283592 21711456 32567184 65134368