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1075516484 = 227224122769
BaseRepresentation
bin100000000011011…
…0001010001000100
32202221202220020212
41000012301101010
54200313011414
6254420014552
735436511400
oct10006612104
92687686225
101075516484
115021124a9
12260231458
13141a8a8b3
14a2ba8100
156464b83e
hex401b1444

1075516484 has 36 divisors (see below), whose sum is σ = 2198625660. Its totient is φ = 459002880.

The previous prime is 1075516457. The next prime is 1075516493. The reversal of 1075516484 is 4846155701.

It can be written as a sum of positive squares in 2 ways, for example, as 328696900 + 746819584 = 18130^2 + 27328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35852 + ... + 58620.

It is an arithmetic number, because the mean of its divisors is an integer number (61072935).

Almost surely, 21075516484 is an apocalyptic number.

1075516484 is a gapful number since it is divisible by the number (14) 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 1075516484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099312830).

1075516484 is an abundant number, since it is smaller than the sum of its proper divisors (1123109176).

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

1075516484 is a wasteful number, since it uses less digits than its factorization.

1075516484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23028 (or 23019 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 1075516484 is about 32795.0679828538. The cubic root of 1075516484 is about 1024.5638387008.

The spelling of 1075516484 in words is "one billion, seventy-five million, five hundred sixteen thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 241 482 964 1687 3374 6748 11809 22769 23618 45538 47236 91076 159383 318766 637532 1115681 2231362 4462724 5487329 10974658 21949316 38411303 76822606 153645212 268879121 537758242 1075516484