Search a number
-
+
66485760 = 293511787
BaseRepresentation
bin1111110110011…
…1111000000000
311122002211022120
43331213320000
5114010021020
610333004240
71435056015
oct375477000
9148084276
1066485760
1134590810
121a323680
1310a0b0b3
148b8970c
155c84740
hex3f67e00

66485760 has 160 divisors (see below), whose sum is σ = 232163712. Its totient is φ = 16097280.

The previous prime is 66485747. The next prime is 66485761. The reversal of 66485760 is 6758466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66485761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84087 + ... + 84873.

Almost surely, 266485760 is an apocalyptic number.

66485760 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 66485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116081856).

66485760 is an abundant number, since it is smaller than the sum of its proper divisors (165677952).

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

66485760 is a wasteful number, since it uses less digits than its factorization.

66485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 66485760 is about 8153.8800579847. The cubic root of 66485760 is about 405.1130304849.

The spelling of 66485760 in words is "sixty-six million, four hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 787 880 960 1056 1280 1320 1408 1536 1574 1760 1920 2112 2361 2560 2640 2816 3148 3520 3840 3935 4224 4722 5280 5632 6296 7040 7680 7870 8448 8657 9444 10560 11805 12592 14080 15740 16896 17314 18888 21120 23610 25184 25971 28160 31480 34628 37776 42240 43285 47220 50368 51942 62960 69256 75552 84480 86570 94440 100736 103884 125920 129855 138512 151104 173140 188880 201472 207768 251840 259710 277024 302208 346280 377760 402944 415536 503680 519420 554048 604416 692560 755520 831072 1007360 1038840 1108096 1208832 1385120 1511040 1662144 2014720 2077680 2216192 2770240 3022080 3324288 4155360 4432384 5540480 6044160 6648576 8310720 11080960 13297152 16621440 22161920 33242880 66485760