Search a number
-
+
1121232256 = 27192411913
BaseRepresentation
bin100001011010100…
…1010010110000000
32220010210111111121
41002311022112000
54244013413011
6303131522024
736533213464
oct10265122600
92803714447
101121232256
115259a7431
122735b9314
1314b3a5c51
14a8ca84a4
156867be71
hex42d4a580

1121232256 has 64 divisors (see below), whose sum is σ = 2362258800. Its totient is φ = 528629760.

The previous prime is 1121232253. The next prime is 1121232257. The reversal of 1121232256 is 6522321211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1121232256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121232251) 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 7 ways as a sum of consecutive naturals, for example, 585156 + ... + 587068.

Almost surely, 21121232256 is an apocalyptic number.

1121232256 is a gapful number since it is divisible by the number (16) 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 1121232256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181129400).

1121232256 is an abundant number, since it is smaller than the sum of its proper divisors (1241026544).

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

1121232256 is a wasteful number, since it uses less digits than its factorization.

1121232256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2175 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 1121232256 is about 33484.8063455651. The cubic root of 1121232256 is about 1038.8795428016.

Adding to 1121232256 its reverse (6522321211), we get a palindrome (7643553467).

The spelling of 1121232256 in words is "one billion, one hundred twenty-one million, two hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 241 304 482 608 964 1216 1913 1928 2432 3826 3856 4579 7652 7712 9158 15304 15424 18316 30608 30848 36347 36632 61216 72694 73264 122432 145388 146528 244864 290776 293056 461033 581552 586112 922066 1163104 1844132 2326208 3688264 4652416 7376528 8759627 14753056 17519254 29506112 35038508 59012224 70077016 140154032 280308064 560616128 1121232256