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65114140 = 225721319269
BaseRepresentation
bin1111100001100…
…1000000011100
311112112010210211
43320121000130
5113132123030
610243342204
71420314100
oct370310034
9145463724
1065114140
1133834243
1219981964
131064a9a0
14890d900
155ab312a
hex3e1901c

65114140 has 144 divisors (see below), whose sum is σ = 180986400. Its totient is φ = 19450368.

The previous prime is 65114123. The next prime is 65114177. The reversal of 65114140 is 4141156.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 241926 + ... + 242194.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 265114140 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 65114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90493200).

65114140 is an abundant number, since it is smaller than the sum of its proper divisors (115872260).

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

65114140 is a wasteful number, since it uses less digits than its factorization.

65114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 65114140 is about 8069.3333057942. Note that the first 4 decimals coincide. The cubic root of 65114140 is about 402.3077847181.

Adding to 65114140 its reverse (4141156), we get a palindrome (69255296).

The spelling of 65114140 in words is "sixty-five million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 49 52 65 70 76 91 95 98 130 133 140 182 190 196 245 247 260 266 269 364 380 455 490 494 532 538 637 665 910 931 980 988 1076 1235 1274 1330 1345 1729 1820 1862 1883 2470 2548 2660 2690 3185 3458 3497 3724 3766 4655 4940 5111 5380 6370 6916 6994 7532 8645 9310 9415 10222 12103 12740 13181 13988 17290 17485 18620 18830 20444 24206 24479 25555 26362 34580 34970 35777 37660 48412 48958 51110 52724 60515 65905 66443 69940 71554 97916 102220 121030 122395 131810 132886 143108 171353 178885 242060 244790 250439 263620 265772 332215 342706 357770 465101 489580 500878 664430 685412 715540 856765 930202 1001756 1252195 1328860 1713530 1860404 2325505 2504390 3255707 3427060 4651010 5008780 6511414 9302020 13022828 16278535 32557070 65114140