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66103680 = 273534429
BaseRepresentation
bin1111110000101…
…0100110000000
311121101102012110
43330022212000
5113410304210
610320455320
71431605046
oct374124600
9147342173
1066103680
113434a745
121a17a540
1310906206
148aca396
155c0b420
hex3f0a980

66103680 has 64 divisors (see below), whose sum is σ = 210711600. Its totient is φ = 17627136.

The previous prime is 66103669. The next prime is 66103711. The reversal of 66103680 is 8630166.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 15295 + ... + 19134.

Almost surely, 266103680 is an apocalyptic number.

66103680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66103680 is an abundant number, since it is smaller than the sum of its proper divisors (144607920).

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

66103680 is a wasteful number, since it uses less digits than its factorization.

66103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34451 (or 34439 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66103680 is about 8130.4169634773. The cubic root of 66103680 is about 404.3355053729.

The spelling of 66103680 in words is "sixty-six million, one hundred three 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 96 120 128 160 192 240 320 384 480 640 960 1920 34429 68858 103287 137716 172145 206574 275432 344290 413148 516435 550864 688580 826296 1032870 1101728 1377160 1652592 2065740 2203456 2754320 3305184 4131480 4406912 5508640 6610368 8262960 11017280 13220736 16525920 22034560 33051840 66103680