Search a number
-
+
5281120760 = 235731939371
BaseRepresentation
bin1001110101100011…
…11000000111111000
3111122001100201202012
410322301320013320
541303431331020
62232012425052
7244604533346
oct47261700770
914561321665
105281120760
112270067213
121034778188
13662179436
1438155c996
1520d9867c5
hex13ac781f8

5281120760 has 64 divisors (see below), whose sum is σ = 12108998880. Its totient is φ = 2072494080.

The previous prime is 5281120759. The next prime is 5281120807. The reversal of 5281120760 is 670211825.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558875 + ... + 568245.

Almost surely, 25281120760 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 5281120760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054499440).

5281120760 is an abundant number, since it is smaller than the sum of its proper divisors (6827878120).

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

5281120760 is a wasteful number, since it uses less digits than its factorization.

5281120760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 9644 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 5281120760 is about 72671.3200650711. The cubic root of 5281120760 is about 1741.4407365286.

The spelling of 5281120760 in words is "five billion, two hundred eighty-one million, one hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 146 193 292 365 386 584 730 772 965 1460 1544 1930 2920 3860 7720 9371 14089 18742 28178 37484 46855 56356 70445 74968 93710 112712 140890 187420 281780 374840 563560 684083 1368166 1808603 2736332 3420415 3617206 5472664 6840830 7234412 9043015 13681660 14468824 18086030 27363320 36172060 72344120 132028019 264056038 528112076 660140095 1056224152 1320280190 2640560380 5281120760