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1116757540 = 2251719716673
BaseRepresentation
bin100001010010000…
…0101111000100100
32212211101011100101
41002210011320210
54241342220130
6302451553444
736450165613
oct10244057044
92784334311
101116757540
11523420518
12271bbb884
1314a49a2a2
14a846187a
15680961ca
hex42905e24

1116757540 has 48 divisors (see below), whose sum is σ = 2495897712. Its totient is φ = 418267136.

The previous prime is 1116757531. The next prime is 1116757559. The reversal of 1116757540 is 457576111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 418529764 + 698227776 = 20458^2 + 26424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1116757540.

It is an unprimeable number.

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, 58644 + ... + 75316.

It is an arithmetic number, because the mean of its divisors is an integer number (51997869).

Almost surely, 21116757540 is an apocalyptic number.

1116757540 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 1116757540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247948856).

1116757540 is an abundant number, since it is smaller than the sum of its proper divisors (1379140172).

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

1116757540 is a wasteful number, since it uses less digits than its factorization.

1116757540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16896 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 37.

The square root of 1116757540 is about 33417.9224369200. The cubic root of 1116757540 is about 1037.4956817936.

The spelling of 1116757540 in words is "one billion, one hundred sixteen million, seven hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 197 340 394 788 985 1970 3349 3940 6698 13396 16673 16745 33346 33490 66692 66980 83365 166730 283441 333460 566882 1133764 1417205 2834410 3284581 5668820 6569162 13138324 16422905 32845810 55837877 65691620 111675754 223351508 279189385 558378770 1116757540