Search a number
-
+
1067382945 = 325226710463
BaseRepresentation
bin111111100111101…
…111100010100001
32202101110200010200
4333213233202201
54141222223240
6253525415413
735310414426
oct7747574241
92671420120
101067382945
114a8567672
1225956a569
131401a0755
14a1a8bd4d
1563a91930
hex3f9ef8a1

1067382945 has 24 divisors (see below), whose sum is σ = 1851123456. Its totient is φ = 568965408.

The previous prime is 1067382929. The next prime is 1067382949. The reversal of 1067382945 is 5492837601.

1067382945 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1067382945 - 24 = 1067382929 is a prime.

It is a super-2 number, since 2×10673829452 = 2278612702553746050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1067382945 is strictly pandigital in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1067382945.

It is not an unprimeable number, because it can be changed into a prime (1067382949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96784 + ... + 107246.

It is an arithmetic number, because the mean of its divisors is an integer number (77130144).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1067382945 = 2134765890, but 3⋅1067382945 = 3202148835 is not.

Almost surely, 21067382945 is an apocalyptic number.

1067382945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1067382945 is a deficient number, since it is larger than the sum of its proper divisors (783740511).

1067382945 is a wasteful number, since it uses less digits than its factorization.

1067382945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12741 (or 12738 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1067382945 is about 32670.8271245158. The cubic root of 1067382945 is about 1021.9745632026.

The spelling of 1067382945 in words is "one billion, sixty-seven million, three hundred eighty-two thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 2267 6801 10463 11335 20403 31389 34005 52315 94167 102015 156945 470835 23719621 71158863 118598105 213476589 355794315 1067382945