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1121178256 = 241127612
BaseRepresentation
bin100001011010011…
…1101001010010000
32220010200202102121
41002310331022100
54244010201011
6303130424024
736532600162
oct10264751220
92803622377
101121178256
1152596a900
12273592014
1314b3874b3
14a8c92932
156866ae71
hex42d3d290

1121178256 has 45 divisors (see below), whose sum is σ = 2390857609. Its totient is φ = 508956800.

The previous prime is 1121178241. The next prime is 1121178257. The reversal of 1121178256 is 6528711211.

The square root of 1121178256 is 33484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2944656 + 1118233600 = 1716^2 + 33440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121178257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1472916 + ... + 1473676.

Almost surely, 21121178256 is an apocalyptic number.

1121178256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1121178256 is the 33484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121178256

1121178256 is an abundant number, since it is smaller than the sum of its proper divisors (1269679353).

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

1121178256 is an frugal number, since it uses more digits than its factorization.

1121178256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 774 counting only the distinct ones).

The product of its digits is 6720, while the sum is 34.

The cubic root of 1121178256 is about 1038.8628646050.

Adding to 1121178256 its reverse (6528711211), we get a palindrome (7649889467).

The spelling of 1121178256 in words is "one billion, one hundred twenty-one million, one hundred seventy-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 761 968 1522 1936 3044 6088 8371 12176 16742 33484 66968 92081 133936 184162 368324 579121 736648 1158242 1473296 2316484 4632968 6370331 9265936 12740662 25481324 50962648 70073641 101925296 140147282 280294564 560589128 1121178256