Search a number
-
+
1160033056 = 25721356909
BaseRepresentation
bin100010100100100…
…1011001100100000
32222211210210012021
41011021023030200
54333432024211
6311035311224
740514055400
oct10511131440
92884723167
101160033056
11545899006
122845ab514
1315643c9c0
14b00c8800
156bc93771
hex4524b320

1160033056 has 72 divisors (see below), whose sum is σ = 2861093340. Its totient is φ = 458906112.

The previous prime is 1160033053. The next prime is 1160033107. The reversal of 1160033056 is 6503300611.

It can be written as a sum of positive squares in 2 ways, for example, as 1031437456 + 128595600 = 32116^2 + 11340^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1160033056.

It is not an unprimeable number, because it can be changed into a prime (1160033053) 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 11 ways as a sum of consecutive naturals, for example, 8071 + ... + 48838.

Almost surely, 21160033056 is an apocalyptic number.

1160033056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1160033056 is an abundant number, since it is smaller than the sum of its proper divisors (1701060284).

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

1160033056 is a wasteful number, since it uses less digits than its factorization.

1160033056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56946 (or 56931 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 1160033056 is about 34059.2580071851. The cubic root of 1160033056 is about 1050.7275550130.

Adding to 1160033056 its reverse (6503300611), we get a palindrome (7663333667).

The spelling of 1160033056 in words is "one billion, one hundred sixty million, thirty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 20384 56909 113818 227636 398363 455272 739817 796726 910544 1479634 1593452 1821088 2788541 2959268 3186904 5178719 5577082 5918536 6373808 10357438 11154164 11837072 12747616 20714876 22308328 23674144 36251033 41429752 44616656 72502066 82859504 89233312 145004132 165719008 290008264 580016528 1160033056