Search a number
-
+
1030403682 = 2327116011237
BaseRepresentation
bin111101011010101…
…011011001100010
32122210212221010100
4331122223121202
54102240404212
6250125043230
734351200240
oct7532533142
92583787110
101030403682
114896aa5a0
122490b6516
13135623b29
149abc3790
15606d9bdc
hex3d6ab662

1030403682 has 96 divisors (see below), whose sum is σ = 2790313344. Its totient is φ = 266976000.

The previous prime is 1030403681. The next prime is 1030403723. The reversal of 1030403682 is 2863040301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1030403681) 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 47 ways as a sum of consecutive naturals, for example, 832368 + ... + 833604.

It is an arithmetic number, because the mean of its divisors is an integer number (29065764).

Almost surely, 21030403682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030403682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395156672).

1030403682 is an abundant number, since it is smaller than the sum of its proper divisors (1759909662).

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

1030403682 is a wasteful number, since it uses less digits than its factorization.

1030403682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1030403682 is about 32099.9015886342. The cubic root of 1030403682 is about 1010.0335518051.

Adding to 1030403682 its reverse (2863040301), we get a palindrome (3893443983).

The spelling of 1030403682 in words is "one billion, thirty million, four hundred three thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 601 693 1202 1237 1386 1803 2474 3606 3711 4207 5409 6611 7422 8414 8659 10818 11133 12621 13222 13607 17318 19833 22266 25242 25977 27214 37863 39666 40821 46277 51954 59499 75726 77931 81642 92554 95249 118998 122463 138831 155862 190498 244926 277662 285747 416493 571494 743437 832986 857241 1486874 1714482 2230311 4460622 5204059 6690933 8177807 10408118 13381866 15612177 16355614 24533421 31224354 46836531 49066842 57244649 73600263 93673062 114489298 147200526 171733947 343467894 515201841 1030403682