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1130310852 = 2231123732087
BaseRepresentation
bin100001101011111…
…0010110011000100
32220202212201222220
41003113302303010
54303324421402
6304054252340
740003324626
oct10327626304
92822781886
101130310852
11530038300
122766570b0
131502342b8
14aa18cc16
1569371dbc
hex435f2cc4

1130310852 has 72 divisors (see below), whose sum is σ = 2908116288. Its totient is φ = 341436480.

The previous prime is 1130310847. The next prime is 1130310877. The reversal of 1130310852 is 2580130311.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540553 + ... + 542639.

It is an arithmetic number, because the mean of its divisors is an integer number (40390504).

Almost surely, 21130310852 is an apocalyptic number.

1130310852 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 1130310852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454058144).

1130310852 is an abundant number, since it is smaller than the sum of its proper divisors (1777805436).

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

1130310852 is a wasteful number, since it uses less digits than its factorization.

1130310852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1130310852 is about 33620.0959546519. The cubic root of 1130310852 is about 1041.6759380963.

It can be divided in two parts, 11303 and 10852, that added together give a triangular number (22155 = T210).

The spelling of 1130310852 in words is "one billion, one hundred thirty million, three hundred ten thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 373 484 726 746 1119 1452 1492 2087 2238 4103 4174 4476 6261 8206 8348 12309 12522 16412 22957 24618 25044 45133 45914 49236 68871 90266 91828 135399 137742 180532 252527 270798 275484 505054 541596 757581 778451 1010108 1515162 1556902 2335353 3030324 3113804 4670706 8562961 9341412 17125922 25688883 34251844 51377766 94192571 102755532 188385142 282577713 376770284 565155426 1130310852