Search a number
-
+
1066717440 = 283252931103
BaseRepresentation
bin111111100101001…
…101000100000000
32202100012212020100
4333211031010000
54141034424230
6253503242400
735301643245
oct7745150400
92670185210
101066717440
114a8152668
122592a9400
1313ccc9869
14a19575cc
15639ae660
hex3f94d100

1066717440 has 432 divisors, whose sum is σ = 3979422720. Its totient is φ = 263208960.

The previous prime is 1066717433. The next prime is 1066717441. The reversal of 1066717440 is 447176601.

It is a super-2 number, since 2×10667174402 = 2275772193600307200, which contains 22 as substring.

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 = 1066717395 and 1066717404.

It is not an unprimeable number, because it can be changed into a prime (1066717441) 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 47 ways as a sum of consecutive naturals, for example, 10356429 + ... + 10356531.

Almost surely, 21066717440 is an apocalyptic number.

1066717440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989711360).

1066717440 is an abundant number, since it is smaller than the sum of its proper divisors (2912705280).

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

1066717440 is a wasteful number, since it uses less digits than its factorization.

1066717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1066717440 is about 32660.6405326044. The cubic root of 1066717440 is about 1021.7621213026.

The spelling of 1066717440 in words is "one billion, sixty-six million, seven hundred seventeen thousand, four hundred forty".