Search a number
-
+
66498480 = 24325194861
BaseRepresentation
bin1111110110101…
…0111110110000
311122010110202200
43331222332300
5114010422410
610333143200
71435141056
oct375527660
9148113680
1066498480
113459a324
121a32ab00
1310a13b19
148b901d6
155c883c0
hex3f6afb0

66498480 has 120 divisors (see below), whose sum is σ = 235126320. Its totient is φ = 16796160.

The previous prime is 66498413. The next prime is 66498533. The reversal of 66498480 is 8489466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11250 + ... + 16110.

It is an arithmetic number, because the mean of its divisors is an integer number (1959386).

Almost surely, 266498480 is an apocalyptic number.

66498480 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 66498480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117563160).

66498480 is an abundant number, since it is smaller than the sum of its proper divisors (168627840).

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

66498480 is a wasteful number, since it uses less digits than its factorization.

66498480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 66498480 is about 8154.6600174379. The cubic root of 66498480 is about 405.1388641329.

It can be divided in two parts, 6649 and 8480, that added together give a square (15129 = 1232).

The spelling of 66498480 in words is "sixty-six million, four hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 4861 6840 9722 13680 14583 19444 24305 29166 38888 43749 48610 58332 72915 77776 87498 92359 97220 116664 145830 174996 184718 194440 218745 233328 277077 291660 349992 369436 388880 437490 461795 554154 583320 699984 738872 831231 874980 923590 1108308 1166640 1385385 1477744 1662462 1749960 1847180 2216616 2770770 3324924 3499920 3694360 4156155 4433232 5541540 6649848 7388720 8312310 11083080 13299696 16624620 22166160 33249240 66498480