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66666480 = 24352291213
BaseRepresentation
bin1111111001001…
…1111111110000
311122110000012220
43332103333300
5114031311410
610340521040
71436440626
oct376237760
9148400186
1066666480
11346a4571
121a3b0180
1310a7242a
148bd5516
155cbd070
hex3f93ff0

66666480 has 80 divisors (see below), whose sum is σ = 207739680. Its totient is φ = 17685504.

The previous prime is 66666437. The next prime is 66666487. The reversal of 66666480 is 8466666.

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 (66666487) 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, 54354 + ... + 55566.

It is an arithmetic number, because the mean of its divisors is an integer number (2596746).

Almost surely, 266666480 is an apocalyptic number.

66666480 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 66666480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103869840).

66666480 is an abundant number, since it is smaller than the sum of its proper divisors (141073200).

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

66666480 is a wasteful number, since it uses less digits than its factorization.

66666480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 66666480 is about 8164.9543783171. The cubic root of 66666480 is about 405.4797545897.

The spelling of 66666480 in words is "sixty-six million, six hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 229 240 458 687 916 1145 1213 1374 1832 2290 2426 2748 3435 3639 3664 4580 4852 5496 6065 6870 7278 9160 9704 10992 12130 13740 14556 18195 18320 19408 24260 27480 29112 36390 48520 54960 58224 72780 97040 145560 277777 291120 555554 833331 1111108 1388885 1666662 2222216 2777770 3333324 4166655 4444432 5555540 6666648 8333310 11111080 13333296 16666620 22222160 33333240 66666480