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66480000 = 27354277
BaseRepresentation
bin1111110110011…
…0011110000000
311122002112102020
43331212132000
5114004330000
610332521440
71435033146
oct375463600
9148075366
1066480000
1134587454
121a320280
1310a085a2
148b87596
155c82ba0
hex3f66780

66480000 has 160 divisors (see below), whose sum is σ = 221460360. Its totient is φ = 17664000.

The previous prime is 66479969. The next prime is 66480019. The reversal of 66480000 is 8466.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239862 + ... + 240138.

Almost surely, 266480000 is an apocalyptic number.

66480000 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 66480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110730180).

66480000 is an abundant number, since it is smaller than the sum of its proper divisors (154980360).

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

66480000 is an equidigital number, since it uses as much as digits as its factorization.

66480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 66480000 is about 8153.5268442558. The cubic root of 66480000 is about 405.1013311453.

Adding to 66480000 its reverse (8466), we get a palindrome (66488466).

The spelling of 66480000 in words is "sixty-six million, four hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 277 300 320 375 384 400 480 500 554 600 625 640 750 800 831 960 1000 1108 1200 1250 1385 1500 1600 1662 1875 1920 2000 2216 2400 2500 2770 3000 3200 3324 3750 4000 4155 4432 4800 5000 5540 6000 6648 6925 7500 8000 8310 8864 9600 10000 11080 12000 13296 13850 15000 16000 16620 17728 20000 20775 22160 24000 26592 27700 30000 33240 34625 35456 40000 41550 44320 48000 53184 55400 60000 66480 69250 80000 83100 88640 103875 106368 110800 120000 132960 138500 166200 173125 177280 207750 221600 240000 265920 277000 332400 346250 415500 443200 519375 531840 554000 664800 692500 831000 886400 1038750 1108000 1329600 1385000 1662000 2077500 2216000 2659200 2770000 3324000 4155000 4432000 5540000 6648000 8310000 11080000 13296000 16620000 22160000 33240000 66480000