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66486480 = 24351391993
BaseRepresentation
bin1111110110100…
…0000011010000
311122002212022020
43331220003100
5114010031410
610333011440
71435061064
oct375500320
9148085266
1066486480
1134591305
121a323b80
1310a0b518
148b89aa4
155c84a70
hex3f680d0

66486480 has 80 divisors (see below), whose sum is σ = 207695040. Its totient is φ = 17593344.

The previous prime is 66486467. The next prime is 66486481. The reversal of 66486480 is 8468466.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66486481) 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, 32364 + ... + 34356.

It is an arithmetic number, because the mean of its divisors is an integer number (2596188).

Almost surely, 266486480 is an apocalyptic number.

66486480 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 66486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103847520).

66486480 is an abundant number, since it is smaller than the sum of its proper divisors (141208560).

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

66486480 is a wasteful number, since it uses less digits than its factorization.

66486480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 66486480 is about 8153.9242086249. The cubic root of 66486480 is about 405.1144928548.

It can be divided in two parts, 66486 and 480, that added together give a palindrome (66966).

The spelling of 66486480 in words is "sixty-six million, four hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 1993 2085 2224 2780 3336 3986 4170 5560 5979 6672 7972 8340 9965 11120 11958 15944 16680 19930 23916 29895 31888 33360 39860 47832 59790 79720 95664 119580 159440 239160 277027 478320 554054 831081 1108108 1385135 1662162 2216216 2770270 3324324 4155405 4432432 5540540 6648648 8310810 11081080 13297296 16621620 22162160 33243240 66486480