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66676480 = 285134007
BaseRepresentation
bin1111111001011…
…0011100000000
311122110111221021
43332112130000
5114032121410
610341035224
71436512033
oct376263400
9148414837
1066676480
1134701032
121a3b5b14
1310a76b50
148bd901a
155cc0eda
hex3f96700

66676480 has 72 divisors (see below), whose sum is σ = 172039392. Its totient is φ = 24612864.

The previous prime is 66676469. The next prime is 66676501. The reversal of 66676480 is 8467666.

66676480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14637 + ... + 18643.

It is an arithmetic number, because the mean of its divisors is an integer number (2389436).

Almost surely, 266676480 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 66676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86019696).

66676480 is an abundant number, since it is smaller than the sum of its proper divisors (105362912).

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

66676480 is a wasteful number, since it uses less digits than its factorization.

66676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 66676480 is about 8165.5667286478. The cubic root of 66676480 is about 405.5000276206.

The spelling of 66676480 in words is "sixty-six million, six hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4007 4160 8014 8320 16028 16640 20035 32056 40070 52091 64112 80140 104182 128224 160280 208364 256448 260455 320560 416728 512896 520910 641120 833456 1025792 1041820 1282240 1666912 2083640 2564480 3333824 4167280 5128960 6667648 8334560 13335296 16669120 33338240 66676480