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666072880 = 245114118461
BaseRepresentation
bin100111101100110…
…111011100110000
31201102100000012221
4213230313130300
52331003313010
6150032130424
722335345304
oct4754673460
91642300187
10666072880
11311a87460
12167096a14
13a7cc0a85
1464665d04
153d71edda
hex27b37730

666072880 has 80 divisors (see below), whose sum is σ = 1730701728. Its totient is φ = 236288000.

The previous prime is 666072877. The next prime is 666072887. The reversal of 666072880 is 88270666.

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

It is not an unprimeable number, because it can be changed into a prime (666072887) by changing a digit.

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, 26850 + ... + 45310.

Almost surely, 2666072880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865350864).

666072880 is an abundant number, since it is smaller than the sum of its proper divisors (1064628848).

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

666072880 is a wasteful number, since it uses less digits than its factorization.

666072880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18526 (or 18520 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 666072880 is about 25808.3877838194. The cubic root of 666072880 is about 873.3210274797.

The spelling of 666072880 in words is "six hundred sixty-six million, seventy-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 18461 36080 36922 73844 92305 147688 184610 203071 295376 369220 406142 738440 756901 812284 1015355 1476880 1513802 1624568 2030710 3027604 3249136 3784505 4061420 6055208 7569010 8122840 8325911 12110416 15138020 16245680 16651822 30276040 33303644 41629555 60552080 66607288 83259110 133214576 166518220 333036440 666072880