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1130243632 = 24731210501
BaseRepresentation
bin100001101011110…
…0010011000110000
32220202202022210021
41003113202120300
54303320244012
6304053013224
740002624640
oct10327423060
92822668707
101130243632
1152aaa1851
12276624214
1315020c81b
14aa172520
156935c007
hex435e2630

1130243632 has 60 divisors (see below), whose sum is σ = 2586264528. Its totient is φ = 468720000.

The previous prime is 1130243627. The next prime is 1130243689. The reversal of 1130243632 is 2363420311.

It is a junction number, because it is equal to n+sod(n) for n = 1130243597 and 1130243606.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 102382 + ... + 112882.

Almost surely, 21130243632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130243632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293132264).

1130243632 is an abundant number, since it is smaller than the sum of its proper divisors (1456020896).

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

1130243632 is a wasteful number, since it uses less digits than its factorization.

1130243632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10578 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 1130243632 is about 33619.0962400836. The cubic root of 1130243632 is about 1041.6552880706.

Adding to 1130243632 its reverse (2363420311), we get a palindrome (3493663943).

The spelling of 1130243632 in words is "one billion, one hundred thirty million, two hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 961 1736 1922 3472 3844 6727 7688 10501 13454 15376 21002 26908 42004 53816 73507 84008 107632 147014 168016 294028 325531 588056 651062 1176112 1302124 2278717 2604248 4557434 5208496 9114868 10091461 18229736 20182922 36459472 40365844 70640227 80731688 141280454 161463376 282560908 565121816 1130243632