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65064132 = 2232719107127
BaseRepresentation
bin1111100000110…
…0110011000100
311112102121012200
43320030303010
5113124023012
610242314500
71420015230
oct370146304
9145377180
1065064132
11337aa711
1219958a30
1310630cb3
1488d95c0
155aa33dc
hex3e0ccc4

65064132 has 144 divisors (see below), whose sum is σ = 201277440. Its totient is φ = 17309376.

The previous prime is 65064127. The next prime is 65064143. The reversal of 65064132 is 23146056.

65064132 is a `hidden beast` number, since 650 + 6 + 4 + 1 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65064096 and 65064105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512253 + ... + 512379.

It is an arithmetic number, because the mean of its divisors is an integer number (1397760).

Almost surely, 265064132 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 65064132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

65064132 is an abundant number, since it is smaller than the sum of its proper divisors (136213308).

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

65064132 is a wasteful number, since it uses less digits than its factorization.

65064132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 65064132 is about 8066.2340655352. The cubic root of 65064132 is about 402.2047668467.

The spelling of 65064132 in words is "sixty-five million, sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 107 114 126 127 133 171 214 228 252 254 266 321 342 381 399 428 508 532 642 684 749 762 798 889 963 1143 1197 1284 1498 1524 1596 1778 1926 2033 2247 2286 2394 2413 2667 2996 3556 3852 4066 4494 4572 4788 4826 5334 6099 6741 7239 8001 8132 8988 9652 10668 12198 13482 13589 14231 14478 16002 16891 18297 21717 24396 26964 27178 28462 28956 32004 33782 36594 40767 42693 43434 50673 54356 56924 67564 73188 81534 85386 86868 95123 101346 122301 128079 152019 163068 170772 190246 202692 244602 256158 258191 285369 304038 380492 489204 512316 516382 570738 608076 774573 856107 1032764 1141476 1549146 1712214 1807337 2323719 3098292 3424428 3614674 4647438 5422011 7229348 9294876 10844022 16266033 21688044 32532066 65064132