Search a number
-
+
1050780340 = 225318591973
BaseRepresentation
bin111110101000011…
…010001010110100
32201020020011122101
4332220122022310
54122444432330
6252133511444
735016325351
oct7650321264
92636204571
101050780340
1149a157905
12253aa2584
1313990981c
149d7a9628
15623b24ca
hex3ea1a2b4

1050780340 has 48 divisors (see below), whose sum is σ = 2281628160. Its totient is φ = 406074240.

The previous prime is 1050780337. The next prime is 1050780373. The reversal of 1050780340 is 430870501.

1050780340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10507803402 = 2208278645861031200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1050780299 and 1050780308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531594 + ... + 533566.

It is an arithmetic number, because the mean of its divisors is an integer number (47533920).

Almost surely, 21050780340 is an apocalyptic number.

1050780340 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 1050780340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140814080).

1050780340 is an abundant number, since it is smaller than the sum of its proper divisors (1230847820).

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

1050780340 is a wasteful number, since it uses less digits than its factorization.

1050780340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1050780340 is about 32415.7421633379. The cubic root of 1050780340 is about 1016.6480832699.

The spelling of 1050780340 in words is "one billion, fifty million, seven hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 859 1718 1973 3436 3946 4295 7892 8590 9865 17180 19730 26629 39460 53258 61163 106516 122326 133145 244652 266290 305815 532580 611630 1223260 1694807 3389614 6779228 8474035 16948070 33896140 52539017 105078034 210156068 262695085 525390170 1050780340