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65066540 = 225711223167
BaseRepresentation
bin1111100000110…
…1011000101100
311112102201111212
43320031120230
5113124112130
610242333552
71420025240
oct370153054
9145381455
1065066540
1133801500
121995a2b8
1310632116
1488da420
155aa3e95
hex3e0d62c

65066540 has 144 divisors (see below), whose sum is σ = 180182016. Its totient is φ = 19282560.

The previous prime is 65066537. The next prime is 65066587. The reversal of 65066540 is 4566056.

65066540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65066497 and 65066506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389537 + ... + 389703.

It is an arithmetic number, because the mean of its divisors is an integer number (1251264).

Almost surely, 265066540 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 65066540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90091008).

65066540 is an abundant number, since it is smaller than the sum of its proper divisors (115115476).

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

65066540 is a wasteful number, since it uses less digits than its factorization.

65066540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 65066540 is about 8066.3833283573. The cubic root of 65066540 is about 402.2097286032.

The spelling of 65066540 in words is "sixty-five million, sixty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 110 115 121 140 154 161 167 220 230 242 253 308 322 334 385 460 484 506 605 644 668 770 805 835 847 1012 1169 1210 1265 1540 1610 1670 1694 1771 1837 2338 2420 2530 2783 3220 3340 3388 3542 3674 3841 4235 4676 5060 5566 5845 7084 7348 7682 8470 8855 9185 11132 11690 12859 13915 15364 16940 17710 18370 19205 19481 20207 23380 25718 26887 27830 35420 36740 38410 38962 40414 42251 51436 53774 55660 64295 76820 77924 80828 84502 97405 101035 107548 128590 134435 141449 169004 194810 202070 211255 257180 268870 282898 295757 389620 404140 422510 464761 537740 565796 591514 707245 845020 929522 1183028 1414490 1478785 1859044 2323805 2828980 2957570 3253327 4647610 5915140 6506654 9295220 13013308 16266635 32533270 65066540