Search a number
-
+
1043004140 = 225299718539
BaseRepresentation
bin111110001010101…
…111101011101100
32200200121002200222
4332022233223230
54114002113030
6251255110512
734563250253
oct7612575354
92620532628
101043004140
114958264a2
12251372438
13138116219
149c74379a
15618783e5
hex3e2afaec

1043004140 has 48 divisors (see below), whose sum is σ = 2289319200. Its totient is φ = 398641152.

The previous prime is 1043004139. The next prime is 1043004143. The reversal of 1043004140 is 414003401.

It is not an unprimeable number, because it can be changed into a prime (1043004143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46991 + ... + 65529.

It is an arithmetic number, because the mean of its divisors is an integer number (47694150).

Almost surely, 21043004140 is an apocalyptic number.

1043004140 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 1043004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144659600).

1043004140 is an abundant number, since it is smaller than the sum of its proper divisors (1246315060).

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

1043004140 is a wasteful number, since it uses less digits than its factorization.

1043004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18674 (or 18672 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1043004140 is about 32295.5746194428. The cubic root of 1043004140 is about 1014.1340021337.

Adding to 1043004140 its reverse (414003401), we get a palindrome (1457007541).

The spelling of 1043004140 in words is "one billion, forty-three million, four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 97 116 145 194 290 388 485 580 970 1940 2813 5626 11252 14065 18539 28130 37078 56260 74156 92695 185390 370780 537631 1075262 1798283 2150524 2688155 3596566 5376310 7193132 8991415 10752620 17982830 35965660 52150207 104300414 208600828 260751035 521502070 1043004140