Search a number
-
+
1069490240 = 265713191933
BaseRepresentation
bin111111101111110…
…010000001000000
32202112102201210122
4333233302001000
54142242141430
6254042515412
735334342230
oct7757620100
92675381718
101069490240
114a9776935
1225a205b68
1314075a980
14a2079cc0
1563d5aee5
hex3fbf2040

1069490240 has 224 divisors, whose sum is σ = 3301105920. Its totient is φ = 320495616.

The previous prime is 1069490237. The next prime is 1069490251. The reversal of 1069490240 is 420949601.

1069490240 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 (224).

It is a super-2 number, since 2×10694902402 = 2287618746910515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1069490240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552314 + ... + 554246.

It is an arithmetic number, because the mean of its divisors is an integer number (14737080).

Almost surely, 21069490240 is an apocalyptic number.

1069490240 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 1069490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650552960).

1069490240 is an abundant number, since it is smaller than the sum of its proper divisors (2231615680).

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

1069490240 is a wasteful number, since it uses less digits than its factorization.

1069490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 1069490240 is about 32703.0616303734. The cubic root of 1069490240 is about 1022.6466700569.

The spelling of 1069490240 in words is "one billion, sixty-nine million, four hundred ninety thousand, two hundred forty".