Search a number
-
+
66464520 = 23352971269
BaseRepresentation
bin1111110110001…
…0101100001000
311122001202011220
43331202230020
5114003331040
610332322040
71434640053
oct375425410
9148052156
1066464520
1134576861
121a313320
1310a01525
148b81a9a
155c7d2d0
hex3f62b08

66464520 has 128 divisors (see below), whose sum is σ = 209952000. Its totient is φ = 16808960.

The previous prime is 66464507. The next prime is 66464539. The reversal of 66464520 is 2546466.

66464520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 246946 + ... + 247214.

It is an arithmetic number, because the mean of its divisors is an integer number (1640250).

Almost surely, 266464520 is an apocalyptic number.

66464520 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 66464520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104976000).

66464520 is an abundant number, since it is smaller than the sum of its proper divisors (143487480).

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

66464520 is a wasteful number, since it uses less digits than its factorization.

66464520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 66464520 is about 8152.5775065313. The cubic root of 66464520 is about 405.0698858214.

The spelling of 66464520 in words is "sixty-six million, four hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 71 87 116 120 142 145 174 213 232 269 284 290 348 355 426 435 538 568 580 696 710 807 852 870 1065 1076 1160 1345 1420 1614 1704 1740 2059 2130 2152 2690 2840 3228 3480 4035 4118 4260 5380 6177 6456 7801 8070 8236 8520 10295 10760 12354 15602 16140 16472 19099 20590 23403 24708 30885 31204 32280 38198 39005 41180 46806 49416 57297 61770 62408 76396 78010 82360 93612 95495 114594 117015 123540 152792 156020 187224 190990 229188 234030 247080 286485 312040 381980 458376 468060 553871 572970 763960 936120 1107742 1145940 1661613 2215484 2291880 2769355 3323226 4430968 5538710 6646452 8308065 11077420 13292904 16616130 22154840 33232260 66464520