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66554280 = 233251314221
BaseRepresentation
bin1111110111100…
…0100110101000
311122020022022100
43331320212220
5114014214110
610334253400
71435462542
oct375704650
9148208270
1066554280
1134628241
121a357260
1310a33340
148ba6692
155c99bc0
hex3f789a8

66554280 has 96 divisors (see below), whose sum is σ = 232956360. Its totient is φ = 16381440.

The previous prime is 66554263. The next prime is 66554287. The reversal of 66554280 is 8245566.

It can be written as a sum of positive squares in 4 ways, for example, as 47527236 + 19027044 = 6894^2 + 4362^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66554287) 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, 2431 + ... + 11790.

Almost surely, 266554280 is an apocalyptic number.

66554280 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 66554280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116478180).

66554280 is an abundant number, since it is smaller than the sum of its proper divisors (166402080).

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

66554280 is a wasteful number, since it uses less digits than its factorization.

66554280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14251 (or 14244 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 66554280 is about 8158.0806566251. The cubic root of 66554280 is about 405.2521520773.

It can be divided in two parts, 665 and 54280, that added together give a palindrome (54945).

The spelling of 66554280 in words is "sixty-six million, five hundred fifty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 14221 28442 42663 56884 71105 85326 113768 127989 142210 170652 184873 213315 255978 284420 341304 369746 426630 511956 554619 568840 639945 739492 853260 924365 1023912 1109238 1279890 1478984 1663857 1706520 1848730 2218476 2559780 2773095 3327714 3697460 4436952 5119560 5546190 6655428 7394920 8319285 11092380 13310856 16638570 22184760 33277140 66554280