Base | Representation |
---|---|
bin | 111111111100000… |
… | …000001001010101 |
3 | 2202202110111022200 |
4 | 333330000021111 |
5 | 4144102200340 |
6 | 254235315113 |
7 | 35403514206 |
oct | 7774001125 |
9 | 2682414280 |
10 | 1072693845 |
11 | 500564843 |
12 | 25b2aba99 |
13 | 14130cbb2 |
14 | a26715ad |
15 | 64290330 |
hex | 3ff00255 |
1072693845 has 24 divisors (see below), whose sum is σ = 1889821752. Its totient is φ = 562723200.
The previous prime is 1072693841. The next prime is 1072693859. The reversal of 1072693845 is 5483962701.
1072693845 is a `hidden beast` number, since 1 + 0 + 7 + 269 + 384 + 5 = 666.
1072693845 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 19236996 + 1053456849 = 4386^2 + 32457^2 .
It is not a de Polignac number, because 1072693845 - 22 = 1072693841 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
1072693845 is strictly pandigital in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 1072693845.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1072693841) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192646 + ... + 198135.
It is an arithmetic number, because the mean of its divisors is an integer number (78742573).
It is a 2-persistent number, because it is pandigital, and so is 2⋅1072693845 = 2145387690, but 3⋅1072693845 = 3218081535 is not.
Almost surely, 21072693845 is an apocalyptic number.
1072693845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
It is an amenable number.
1072693845 is a deficient number, since it is larger than the sum of its proper divisors (817127907).
1072693845 is a wasteful number, since it uses less digits than its factorization.
1072693845 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 390853 (or 390850 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1072693845 is about 32752.0052057885. The cubic root of 1072693845 is about 1023.6667480056. Note that the first 3 decimals are identical.
The spelling of 1072693845 in words is "one billion, seventy-two million, six hundred ninety-three thousand, eight hundred forty-five".
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