Base | Representation |
---|---|
bin | 111111110010111… |
… | …010000000000000 |
3 | 2202120222100110000 |
4 | 333302322000000 |
5 | 4142444400001 |
6 | 254112240000 |
7 | 35344323333 |
oct | 7762720000 |
9 | 2676870400 |
10 | 1070309376 |
11 | 4aa186304 |
12 | 25a540000 |
13 | 140986776 |
14 | a221061a |
15 | 63e6da86 |
hex | 3fcba000 |
1070309376 has 140 divisors (see below), whose sum is σ = 3199501602. Its totient is φ = 356548608.
The previous prime is 1070309371. The next prime is 1070309377. The reversal of 1070309376 is 6739030701.
It can be written as a sum of positive squares in only one way, i.e., 862949376 + 207360000 = 29376^2 + 14400^2 .
It is a super-2 number, since 2×10703093762 = 2291124320707018752, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1070309376.
It is not an unprimeable number, because it can be changed into a prime (1070309371) 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 9 ways as a sum of consecutive naturals, for example, 662746 + ... + 664358.
Almost surely, 21070309376 is an apocalyptic number.
1070309376 is a gapful number since it is divisible by the number (16) 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 1070309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599750801).
1070309376 is an abundant number, since it is smaller than the sum of its proper divisors (2129192226).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1070309376 is an frugal number, since it uses more digits than its factorization.
1070309376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1651 (or 1618 counting only the distinct ones).
The product of its (nonzero) digits is 23814, while the sum is 36.
The square root of 1070309376 is about 32715.5830759594. The cubic root of 1070309376 is about 1022.9076894028.
The spelling of 1070309376 in words is "one billion, seventy million, three hundred nine thousand, three hundred seventy-six".
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