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65141040 = 24352691009
BaseRepresentation
bin1111100001111…
…1100100110000
311112120111201010
43320133210300
5113134003130
610244110520
71420455366
oct370374460
9145514633
1065141040
1133852478
1219995440
1310659cc3
148919636
155abb0b0
hex3e1f930

65141040 has 80 divisors (see below), whose sum is σ = 202888800. Its totient is φ = 17289216.

The previous prime is 65141017. The next prime is 65141057. The reversal of 65141040 is 4014156.

It is a Cunningham number, because it is equal to 80712-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 65140998 and 65141016.

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, 64056 + ... + 65064.

It is an arithmetic number, because the mean of its divisors is an integer number (2536110).

Almost surely, 265141040 is an apocalyptic number.

65141040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101444400).

65141040 is an abundant number, since it is smaller than the sum of its proper divisors (137747760).

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

65141040 is a wasteful number, since it uses less digits than its factorization.

65141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 65141040 is about 8070.9999380498. Note that the first 4 decimals coincide. The cubic root of 65141040 is about 402.3631776505.

Adding to 65141040 its reverse (4014156), we get a palindrome (69155196).

The spelling of 65141040 in words is "sixty-five million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 269 538 807 1009 1076 1345 1614 2018 2152 2690 3027 3228 4035 4036 4304 5045 5380 6054 6456 8070 8072 10090 10760 12108 12912 15135 16140 16144 20180 21520 24216 30270 32280 40360 48432 60540 64560 80720 121080 242160 271421 542842 814263 1085684 1357105 1628526 2171368 2714210 3257052 4071315 4342736 5428420 6514104 8142630 10856840 13028208 16285260 21713680 32570520 65141040