Search a number
-
+
7075338340 = 2257228125693
BaseRepresentation
bin1101001011011100…
…10001100001100100
3200021002111102120011
412211232101201210
5103442241311330
63130025020004
7340222245400
oct64556214144
920232442504
107075338340
113000931464
121455624604
13889ac3545
144b196c100
152b624b82a
hex1a5b91864

7075338340 has 72 divisors (see below), whose sum is σ = 17346224952. Its totient is φ = 2417103360.

The previous prime is 7075338329. The next prime is 7075338371. The reversal of 7075338340 is 438335707.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2489610816 + 4585727524 = 49896^2 + 67718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7075338293 and 7075338302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262534 + ... + 288226.

It is an arithmetic number, because the mean of its divisors is an integer number (240919791).

Almost surely, 27075338340 is an apocalyptic number.

7075338340 is a gapful number since it is divisible by the number (70) 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 7075338340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673112476).

7075338340 is an abundant number, since it is smaller than the sum of its proper divisors (10270886612).

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

7075338340 is a wasteful number, since it uses less digits than its factorization.

7075338340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25997 (or 25988 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 7075338340 is about 84115.0304047975. The cubic root of 7075338340 is about 1919.7694257980.

The spelling of 7075338340 in words is "seven billion, seventy-five million, three hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 281 490 562 980 1124 1405 1967 2810 3934 5620 7868 9835 13769 19670 25693 27538 39340 51386 55076 68845 102772 128465 137690 179851 256930 275380 359702 513860 719404 899255 1258957 1798510 2517914 3597020 5035828 6294785 7219733 12589570 14439466 25179140 28878932 36098665 50538131 72197330 101076262 144394660 202152524 252690655 353766917 505381310 707533834 1010762620 1415067668 1768834585 3537669170 7075338340