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66675375 = 3253134797
BaseRepresentation
bin1111111001011…
…0001010101111
311122110110102100
43332112022233
5114032103000
610341030143
71436505564
oct376261257
9148413370
1066675375
1134700218
121a3b5353
1310a764b0
148bd886b
155cc0a00
hex3f962af

66675375 has 96 divisors (see below), whose sum is σ = 133555968. Its totient is φ = 31795200.

The previous prime is 66675361. The next prime is 66675383. The reversal of 66675375 is 57357666.

It is not a de Polignac number, because 66675375 - 24 = 66675359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 66675375.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 687327 + ... + 687423.

It is an arithmetic number, because the mean of its divisors is an integer number (1391208).

Almost surely, 266675375 is an apocalyptic number.

66675375 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66675375 is the 4365-th nonagonal number.

66675375 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

66675375 is a wasteful number, since it uses less digits than its factorization.

66675375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 66675375 is about 8165.4990661931. The cubic root of 66675375 is about 405.4977875503.

The spelling of 66675375 in words is "sixty-six million, six hundred seventy-five thousand, three hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 39 45 47 65 75 97 117 125 141 195 225 235 291 325 375 423 485 585 611 705 873 975 1125 1175 1261 1455 1625 1833 2115 2425 2925 3055 3525 3783 4365 4559 4875 5499 5875 6305 7275 9165 10575 11349 12125 13677 14625 15275 17625 18915 21825 22795 27495 31525 36375 41031 45825 52875 56745 59267 68385 76375 94575 109125 113975 137475 157625 177801 205155 229125 283725 296335 341925 472875 533403 569875 687375 889005 1025775 1418625 1481675 1709625 2667015 4445025 5128875 7408375 13335075 22225125 66675375