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66535680 = 283517327
BaseRepresentation
bin1111110111010…
…0000100000000
311122012100210110
43331310010000
5114013120210
610334031320
71435354401
oct375640400
9148170713
1066535680
1134615272
121a348540
1310a27a33
148b9d9a8
155c94420
hex3f74100

66535680 has 72 divisors (see below), whose sum is σ = 212510592. Its totient is φ = 17741824.

The previous prime is 66535673. The next prime is 66535687. The reversal of 66535680 is 8653566.

It is an interprime number because it is at equal distance from previous prime (66535673) and next prime (66535687).

It is not an unprimeable number, because it can be changed into a prime (66535687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4824 + ... + 12503.

It is an arithmetic number, because the mean of its divisors is an integer number (2951536).

Almost surely, 266535680 is an apocalyptic number.

66535680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66535680 is an abundant number, since it is smaller than the sum of its proper divisors (145974912).

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

66535680 is a wasteful number, since it uses less digits than its factorization.

66535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17351 (or 17337 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 66535680 is about 8156.9406029467. The cubic root of 66535680 is about 405.2143964673.

The spelling of 66535680 in words is "sixty-six million, five hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 17327 34654 51981 69308 86635 103962 138616 173270 207924 259905 277232 346540 415848 519810 554464 693080 831696 1039620 1108928 1386160 1663392 2079240 2217856 2772320 3326784 4158480 4435712 5544640 6653568 8316960 11089280 13307136 16633920 22178560 33267840 66535680