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66003280 = 2457432741
BaseRepresentation
bin1111101111001…
…0000101010000
311121012022110221
43323302011100
5113344101110
610314402424
71431006250
oct373620520
9147168427
1066003280
1134291272
121a130414
131089c5c5
148aa1960
155bdb7da
hex3ef2150

66003280 has 80 divisors (see below), whose sum is σ = 179524224. Its totient is φ = 22095360.

The previous prime is 66003277. The next prime is 66003293. The reversal of 66003280 is 8230066.

66003280 is digitally balanced in base 2, 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22710 + ... + 25450.

Almost surely, 266003280 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 66003280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89762112).

66003280 is an abundant number, since it is smaller than the sum of its proper divisors (113520944).

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

66003280 is a wasteful number, since it uses less digits than its factorization.

66003280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 66003280 is about 8124.2402721731. The cubic root of 66003280 is about 404.1306965308.

The spelling of 66003280 in words is "sixty-six million, three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 2741 3010 3440 4816 5482 6020 10964 12040 13705 19187 21928 24080 27410 38374 43856 54820 76748 95935 109640 117863 153496 191870 219280 235726 306992 383740 471452 589315 767480 825041 942904 1178630 1534960 1650082 1885808 2357260 3300164 4125205 4714520 6600328 8250410 9429040 13200656 16500820 33001640 66003280