Search a number
-
+
66470940 = 22325369283
BaseRepresentation
bin1111110110010…
…0010000011100
311122002001222200
43331210100130
5114004032230
610332411500
71434664554
oct375442034
9148061880
1066470940
1134580668
121a316b90
1310a04423
148b84164
155c80160
hex3f6441c

66470940 has 36 divisors (see below), whose sum is σ = 201629064. Its totient is φ = 17725536.

The previous prime is 66470927. The next prime is 66470941. The reversal of 66470940 is 4907466.

66470940 is a `hidden beast` number, since 6 + 647 + 0 + 9 + 4 + 0 = 666.

66470940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66470895 and 66470904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66470941) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 184462 + ... + 184821.

Almost surely, 266470940 is an apocalyptic number.

66470940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66470940 is an abundant number, since it is smaller than the sum of its proper divisors (135158124).

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

66470940 is a wasteful number, since it uses less digits than its factorization.

66470940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369298 (or 369293 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66470940 is about 8152.9712375305. The cubic root of 66470940 is about 405.0829276917.

The spelling of 66470940 in words is "sixty-six million, four hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 369283 738566 1107849 1477132 1846415 2215698 3323547 3692830 4431396 5539245 6647094 7385660 11078490 13294188 16617735 22156980 33235470 66470940