Search a number
-
+
1130386520 = 2352310711483
BaseRepresentation
bin100001101100000…
…0101010001011000
32220210000120210102
41003120011101120
54303334332040
6304100034532
740004061344
oct10330052130
92823016712
101130386520
1153008a13a
12276692a48
1315025c883
14aa1ac624
1569389515
hex43605458

1130386520 has 64 divisors (see below), whose sum is σ = 2678987520. Its totient is φ = 428416384.

The previous prime is 1130386489. The next prime is 1130386529. The reversal of 1130386520 is 256830311.

It is a super-3 number, since 3×11303865203 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130386529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 92699 + ... + 104181.

It is an arithmetic number, because the mean of its divisors is an integer number (41859180).

Almost surely, 21130386520 is an apocalyptic number.

1130386520 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 1130386520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339493760).

1130386520 is an abundant number, since it is smaller than the sum of its proper divisors (1548601000).

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

1130386520 is a wasteful number, since it uses less digits than its factorization.

1130386520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11624 (or 11620 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1130386520 is about 33621.2212746652. The cubic root of 1130386520 is about 1041.6991823735.

The spelling of 1130386520 in words is "one billion, one hundred thirty million, three hundred eighty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 107 115 184 214 230 428 460 535 856 920 1070 2140 2461 4280 4922 9844 11483 12305 19688 22966 24610 45932 49220 57415 91864 98440 114830 229660 264109 459320 528218 1056436 1228681 1320545 2112872 2457362 2641090 4914724 5282180 6143405 9829448 10564360 12286810 24573620 28259663 49147240 56519326 113038652 141298315 226077304 282596630 565193260 1130386520