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1130501024 = 25531733853
BaseRepresentation
bin100001101100010…
…0001001110100000
32220210020101212022
41003120201032200
54303402013044
6304102321012
740005046232
oct10330411640
92823211768
101130501024
11530158174
12276729168
1315029ca23
14aa1dc252
15693ad3ee
hex436213a0

1130501024 has 48 divisors (see below), whose sum is σ = 2281367592. Its totient is φ = 551236608.

The previous prime is 1130501017. The next prime is 1130501059. The reversal of 1130501024 is 4201050311.

It can be written as a sum of positive squares in 4 ways, for example, as 1027843600 + 102657424 = 32060^2 + 10132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1130500993 and 1130501011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291482 + ... + 295334.

Almost surely, 21130501024 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 1130501024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140683796).

1130501024 is an abundant number, since it is smaller than the sum of its proper divisors (1150866568).

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

1130501024 is a wasteful number, since it uses less digits than its factorization.

1130501024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1130501024 is about 33622.9240846182. The cubic root of 1130501024 is about 1041.7343546188.

Adding to 1130501024 its reverse (4201050311), we get a palindrome (5331551335).

The spelling of 1130501024 in words is "one billion, one hundred thirty million, five hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 53 106 173 212 346 424 692 848 1384 1696 2768 3853 5536 7706 9169 15412 18338 30824 36676 61648 73352 123296 146704 204209 293408 408418 666569 816836 1333138 1633672 2666276 3267344 5332552 6534688 10665104 21330208 35328157 70656314 141312628 282625256 565250512 1130501024