Search a number
-
+
1130059520 = 2856713177
BaseRepresentation
bin100001101011011…
…0101011100000000
32220202101222020022
41003112311130000
54303243401040
6304045033012
740001230112
oct10326653400
92822358208
101130059520
1152a986497
12276555768
13150176a95
14aa1253b2
15693226b5
hex435b5700

1130059520 has 72 divisors (see below), whose sum is σ = 2747454864. Its totient is φ = 445243392.

The previous prime is 1130059517. The next prime is 1130059531. The reversal of 1130059520 is 259500311.

It is a self number, because there is not a number n which added to its sum of digits gives 1130059520.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 79172 + ... + 92348.

Almost surely, 21130059520 is an apocalyptic number.

1130059520 is a gapful number since it is divisible by the number (10) 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 1130059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373727432).

1130059520 is an abundant number, since it is smaller than the sum of its proper divisors (1617395344).

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

1130059520 is an equidigital number, since it uses as much as digits as its factorization.

1130059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13265 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 1130059520 is about 33616.3579228922. The cubic root of 1130059520 is about 1041.5987245571.

Adding to 1130059520 its reverse (259500311), we get a palindrome (1389559831).

The spelling of 1130059520 in words is "one billion, one hundred thirty million, fifty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 536 640 670 1072 1280 1340 2144 2680 4288 5360 8576 10720 13177 17152 21440 26354 42880 52708 65885 85760 105416 131770 210832 263540 421664 527080 843328 882859 1054160 1686656 1765718 2108320 3373312 3531436 4216640 4414295 7062872 8433280 8828590 14125744 16866560 17657180 28251488 35314360 56502976 70628720 113005952 141257440 226011904 282514880 565029760 1130059520