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66490880 = 295191367
BaseRepresentation
bin1111110110100…
…1001000000000
311122010002100012
43331221020000
5114010202010
610333044052
71435106651
oct375511000
9148102305
1066490880
1134594645
121a326628
1310a10521
148b8b528
155c86005
hex3f69200

66490880 has 80 divisors (see below), whose sum is σ = 167935680. Its totient is φ = 25178112.

The previous prime is 66490873. The next prime is 66490891. The reversal of 66490880 is 8809466.

It is a tau number, because it is divible by the number of its divisors (80).

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, 47957 + ... + 49323.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 266490880 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 66490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83967840).

66490880 is an abundant number, since it is smaller than the sum of its proper divisors (101444800).

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

66490880 is a wasteful number, since it uses less digits than its factorization.

66490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 66490880 is about 8154.1940128991. The cubic root of 66490880 is about 405.1234293306.

The spelling of 66490880 in words is "sixty-six million, four hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1216 1280 1367 1520 2432 2560 2734 3040 4864 5468 6080 6835 9728 10936 12160 13670 21872 24320 25973 27340 43744 48640 51946 54680 87488 103892 109360 129865 174976 207784 218720 259730 349952 415568 437440 519460 699904 831136 874880 1038920 1662272 1749760 2077840 3324544 3499520 4155680 6649088 8311360 13298176 16622720 33245440 66490880