Search a number
-
+
7135380040 = 235178384501
BaseRepresentation
bin1101010010100110…
…10100001001001000
3200102021110212021211
412221103110021020
5104103124130130
63140011542504
7341551505155
oct65123241110
920367425254
107135380040
1130318106a8
12147175aa34
13899386489
144b991b22c
152bb65ba2a
hex1a94d4248

7135380040 has 16 divisors (see below), whose sum is σ = 16054605180. Its totient is φ = 2854152000.

The previous prime is 7135380013. The next prime is 7135380067. The reversal of 7135380040 is 400835317.

It is an interprime number because it is at equal distance from previous prime (7135380013) and next prime (7135380067).

It can be written as a sum of positive squares in 2 ways, for example, as 6975256324 + 160123716 = 83518^2 + 12654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7135379984 and 7135380011.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 89192211 + ... + 89192290.

Almost surely, 27135380040 is an apocalyptic number.

It is an amenable number.

7135380040 is an abundant number, since it is smaller than the sum of its proper divisors (8919225140).

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

7135380040 is a wasteful number, since it uses less digits than its factorization.

7135380040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178384512 (or 178384508 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 7135380040 is about 84471.1787534660. The cubic root of 7135380040 is about 1925.1845589058.

The spelling of 7135380040 in words is "seven billion, one hundred thirty-five million, three hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 178384501 356769002 713538004 891922505 1427076008 1783845010 3567690020 7135380040