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1130531052 = 223723757773
BaseRepresentation
bin100001101100010…
…1000100011101100
32220210021221001110
41003120220203230
54303403443202
6304103112020
740005232620
oct10330504354
92823257043
101130531052
11530178792
12276742610
131502b05b1
14aa209180
15693b726c
hex436288ec

1130531052 has 96 divisors (see below), whose sum is σ = 3154056192. Its totient is φ = 308157696.

The previous prime is 1130531047. The next prime is 1130531069. The reversal of 1130531052 is 2501350311.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 1462138 + ... + 1462910.

It is an arithmetic number, because the mean of its divisors is an integer number (32854752).

Almost surely, 21130531052 is an apocalyptic number.

1130531052 is a gapful number since it is divisible by the number (12) 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 1130531052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577028096).

1130531052 is an abundant number, since it is smaller than the sum of its proper divisors (2023525140).

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

1130531052 is a wasteful number, since it uses less digits than its factorization.

1130531052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1130531052 is about 33623.3706222324. The cubic root of 1130531052 is about 1041.7435779400.

Adding to 1130531052 its reverse (2501350311), we get a palindrome (3631881363).

The spelling of 1130531052 in words is "one billion, one hundred thirty million, five hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 757 773 966 1514 1546 1932 2271 2319 3028 3092 4542 4638 5299 5411 9084 9276 10598 10822 15897 16233 17411 17779 21196 21644 31794 32466 34822 35558 52233 53337 63588 64932 69644 71116 104466 106674 121877 124453 208932 213348 243754 248906 365631 373359 487508 497812 585161 731262 746718 1170322 1462524 1493436 1755483 2340644 3510966 4096127 7021932 8192254 12288381 13458703 16384508 24576762 26917406 40376109 49153524 53834812 80752218 94210921 161504436 188421842 282632763 376843684 565265526 1130531052