Search a number
-
+
1130406630 = 235311637457
BaseRepresentation
bin100001101100000…
…1010001011100110
32220210001121101020
41003120022023212
54303341003010
6304100312010
740004204103
oct10330121346
92823047336
101130406630
115300a3261
122766a2606
13150268a82
14aa1b5aaa
1569390470
hex4360a2e6

1130406630 has 64 divisors (see below), whose sum is σ = 2818050048. Its totient is φ = 289889280.

The previous prime is 1130406623. The next prime is 1130406637. The reversal of 1130406630 is 366040311.

It is an interprime number because it is at equal distance from previous prime (1130406623) and next prime (1130406637).

It is a super-3 number, since 3×11304066303 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1130406630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130406637) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 147862 + ... + 155318.

It is an arithmetic number, because the mean of its divisors is an integer number (44032032).

Almost surely, 21130406630 is an apocalyptic number.

1130406630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130406630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409025024).

1130406630 is an abundant number, since it is smaller than the sum of its proper divisors (1687643418).

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

1130406630 is a wasteful number, since it uses less digits than its factorization.

1130406630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1130406630 is about 33621.5203404010. The cubic root of 1130406630 is about 1041.7053597432.

Adding to 1130406630 its reverse (366040311), we get a palindrome (1496446941).

The spelling of 1130406630 in words is "one billion, one hundred thirty million, four hundred six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 163 186 310 326 465 489 815 930 978 1630 2445 4890 5053 7457 10106 14914 15159 22371 25265 30318 37285 44742 50530 74570 75795 111855 151590 223710 231167 462334 693501 1155835 1215491 1387002 2311670 2430982 3467505 3646473 6077455 6935010 7292946 12154910 18232365 36464730 37680221 75360442 113040663 188401105 226081326 376802210 565203315 1130406630