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66709280 = 25511291307
BaseRepresentation
bin1111111001111…
…0011100100000
311122112011221002
43332132130200
5114034144110
610341451132
71440006461
oct376363440
9148464832
1066709280
1134723740
121a410aa8
1310a88a61
148c06d68
155ccaaa5
hex3f9e720

66709280 has 96 divisors (see below), whose sum is σ = 177992640. Its totient is φ = 23403520.

The previous prime is 66709267. The next prime is 66709283. The reversal of 66709280 is 8290766.

It is not an unprimeable number, because it can be changed into a prime (66709283) 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, 50387 + ... + 51693.

It is an arithmetic number, because the mean of its divisors is an integer number (1854090).

Almost surely, 266709280 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 66709280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88996320).

66709280 is an abundant number, since it is smaller than the sum of its proper divisors (111283360).

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

66709280 is a wasteful number, since it uses less digits than its factorization.

66709280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 66709280 is about 8167.5749154813. The cubic root of 66709280 is about 405.5665089374.

The spelling of 66709280 in words is "sixty-six million, seven hundred nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 220 232 290 319 352 440 464 580 638 880 928 1160 1276 1307 1595 1760 2320 2552 2614 3190 4640 5104 5228 6380 6535 10208 10456 12760 13070 14377 20912 25520 26140 28754 37903 41824 51040 52280 57508 71885 75806 104560 115016 143770 151612 189515 209120 230032 287540 303224 379030 416933 460064 575080 606448 758060 833866 1150160 1212896 1516120 1667732 2084665 2300320 3032240 3335464 4169330 6064480 6670928 8338660 13341856 16677320 33354640 66709280