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1130035456 = 281121912
BaseRepresentation
bin100001101011010…
…1111100100000000
32220202100202020001
41003112233210000
54303242113311
6304044325344
740001100004
oct10326574400
92822322201
101130035456
1152a96a400
12276543854
13150168b44
14aa11a704
156931a4c1
hex435af900

1130035456 has 81 divisors (see below), whose sum is σ = 2492407099. Its totient is φ = 510963200.

The previous prime is 1130035451. The next prime is 1130035457. The reversal of 1130035456 is 6545300311.

The square root of 1130035456 is 33616.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1130035451) 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, 5916321 + ... + 5916511.

Almost surely, 21130035456 is an apocalyptic number.

1130035456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1130035456 is the 33616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130035456

1130035456 is an abundant number, since it is smaller than the sum of its proper divisors (1362371643).

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

1130035456 is an frugal number, since it uses more digits than its factorization.

1130035456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The cubic root of 1130035456 is about 1041.5913310793.

Adding to 1130035456 its reverse (6545300311), we get a palindrome (7675335767).

The spelling of 1130035456 in words is "one billion, one hundred thirty million, thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 191 242 256 352 382 484 704 764 968 1408 1528 1936 2101 2816 3056 3872 4202 6112 7744 8404 12224 15488 16808 23111 24448 30976 33616 36481 46222 48896 67232 72962 92444 134464 145924 184888 268928 291848 369776 401291 537856 583696 739552 802582 1167392 1479104 1605164 2334784 2958208 3210328 4414201 4669568 5916416 6420656 8828402 9339136 12841312 17656804 25682624 35313608 51365248 70627216 102730496 141254432 282508864 565017728 1130035456