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66054360 = 23353311663
BaseRepresentation
bin1111101111111…
…0100011011000
311121021220112210
43323332203120
5113402214420
610315435120
71431311211
oct373764330
9147256483
1066054360
1134316689
121a155aa0
13108b9928
148ab6408
155beb9e0
hex3efe8d8

66054360 has 64 divisors (see below), whose sum is σ = 198881280. Its totient is φ = 17550720.

The previous prime is 66054343. The next prime is 66054371. The reversal of 66054360 is 6345066.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 38889 + ... + 40551.

It is an arithmetic number, because the mean of its divisors is an integer number (3107520).

Almost surely, 266054360 is an apocalyptic number.

66054360 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 66054360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99440640).

66054360 is an abundant number, since it is smaller than the sum of its proper divisors (132826920).

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

66054360 is a wasteful number, since it uses less digits than its factorization.

66054360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 66054360 is about 8127.3833427494. The cubic root of 66054360 is about 404.2349220231.

The spelling of 66054360 in words is "sixty-six million, fifty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1663 1986 2648 3310 3326 3972 4965 4989 6620 6652 7944 8315 9930 9978 13240 13304 16630 19860 19956 24945 33260 39720 39912 49890 66520 99780 199560 550453 1100906 1651359 2201812 2752265 3302718 4403624 5504530 6605436 8256795 11009060 13210872 16513590 22018120 33027180 66054360