Search a number
-
+
3130520040 = 233258695889
BaseRepresentation
bin1011101010010111…
…1111000111101000
322002011121220011200
42322211333013220
522402403120130
61234345524200
7140401660404
oct27245770750
98064556150
103130520040
11136710804a
127344a3660
133ab75292b
14219aa0104
15134c76760
hexba97f1e8

3130520040 has 48 divisors (see below), whose sum is σ = 10174191300. Its totient is φ = 834805248.

The previous prime is 3130520033. The next prime is 3130520051. The reversal of 3130520040 is 400250313.

It can be written as a sum of positive squares in 2 ways, for example, as 2601612036 + 528908004 = 51006^2 + 22998^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3130519995 and 3130520022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4347585 + ... + 4348304.

Almost surely, 23130520040 is an apocalyptic number.

3130520040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3130520040 is an abundant number, since it is smaller than the sum of its proper divisors (7043671260).

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

3130520040 is a wasteful number, since it uses less digits than its factorization.

3130520040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695906 (or 8695899 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3130520040 is about 55951.0503922849. The cubic root of 3130520040 is about 1462.8691997988.

Adding to 3130520040 its reverse (400250313), we get a palindrome (3530770353).

The spelling of 3130520040 in words is "three billion, one hundred thirty million, five hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8695889 17391778 26087667 34783556 43479445 52175334 69567112 78263001 86958890 104350668 130438335 156526002 173917780 208701336 260876670 313052004 347835560 391315005 521753340 626104008 782630010 1043506680 1565260020 3130520040