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6666480 = 2432547197
BaseRepresentation
bin11001011011100011110000
3110112200200200
4121123203300
53201311410
6354515200
7110443542
oct31334360
913480620
106666480
113843697
122295b00
1314c5482
14c57692
158ba3c0
hex65b8f0

6666480 has 120 divisors (see below), whose sum is σ = 22980672. Its totient is φ = 1731072.

The previous prime is 6666479. The next prime is 6666487. The reversal of 6666480 is 846666.

6666480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6666487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33742 + ... + 33938.

Almost surely, 26666480 is an apocalyptic number.

6666480 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 6666480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490336).

6666480 is an abundant number, since it is smaller than the sum of its proper divisors (16314192).

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

6666480 is a wasteful number, since it uses less digits than its factorization.

6666480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6666480 is about 2581.9527493740. The cubic root of 6666480 is about 188.2054491592.

The spelling of 6666480 in words is "six million, six hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 197 235 240 282 360 376 394 423 470 564 591 705 720 752 788 846 940 985 1128 1182 1410 1576 1692 1773 1880 1970 2115 2256 2364 2820 2955 3152 3384 3546 3760 3940 4230 4728 5640 5910 6768 7092 7880 8460 8865 9259 9456 11280 11820 14184 15760 16920 17730 18518 23640 27777 28368 33840 35460 37036 46295 47280 55554 70920 74072 83331 92590 111108 138885 141840 148144 166662 185180 222216 277770 333324 370360 416655 444432 555540 666648 740720 833310 1111080 1333296 1666620 2222160 3333240 6666480