Search a number
-
+
1240313004 = 223279750741
BaseRepresentation
bin100100111101101…
…1010110010101100
310012102212102120200
41021323122302230
510020010004004
6323024113500
742510325620
oct11173326254
93172772520
101240313004
11587140577
122a7465890
13169c6a628
14baa25180
1573d50239
hex49edacac

1240313004 has 72 divisors (see below), whose sum is σ = 3620137248. Its totient is φ = 350714880.

The previous prime is 1240313003. The next prime is 1240313021. The reversal of 1240313004 is 4003130421.

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

It is not an unprimeable number, because it can be changed into a prime (1240313003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927 + ... + 49814.

It is an arithmetic number, because the mean of its divisors is an integer number (50279684).

Almost surely, 21240313004 is an apocalyptic number.

1240313004 is a gapful number since it is divisible by the number (14) 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 1240313004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810068624).

1240313004 is an abundant number, since it is smaller than the sum of its proper divisors (2379824244).

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

1240313004 is a wasteful number, since it uses less digits than its factorization.

1240313004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50855 (or 50850 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1240313004 is about 35218.0778010385. The cubic root of 1240313004 is about 1074.4274590294.

Adding to 1240313004 its reverse (4003130421), we get a palindrome (5243443425).

The spelling of 1240313004 in words is "one billion, two hundred forty million, three hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1746 2037 2716 3492 4074 6111 8148 12222 24444 50741 101482 152223 202964 304446 355187 456669 608892 710374 913338 1065561 1420748 1826676 2131122 3196683 4262244 4921877 6393366 9843754 12786732 14765631 19687508 29531262 34453139 44296893 59062524 68906278 88593786 103359417 137812556 177187572 206718834 310078251 413437668 620156502 1240313004