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1130616448 = 27132512707
BaseRepresentation
bin100001101100011…
…1101011010000000
32220210110021012021
41003120331122000
54303414211243
6304105011224
740006036603
oct10330753200
92823407167
101130616448
11530226965
12276783b14
13150310420
14aa22c33a
15693d26ed
hex4363d680

1130616448 has 64 divisors (see below), whose sum is σ = 2436225120. Its totient is φ = 519552000.

The previous prime is 1130616419. The next prime is 1130616457. The reversal of 1130616448 is 8446160311.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 416311 + ... + 419017.

Almost surely, 21130616448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130616448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218112560).

1130616448 is an abundant number, since it is smaller than the sum of its proper divisors (1305608672).

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

1130616448 is a wasteful number, since it uses less digits than its factorization.

1130616448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1130616448 is about 33624.6404887844. The cubic root of 1130616448 is about 1041.7698070573.

Adding to 1130616448 its reverse (8446160311), we get a palindrome (9576776759).

The spelling of 1130616448 in words is "one billion, one hundred thirty million, six hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 251 416 502 832 1004 1664 2008 2707 3263 4016 5414 6526 8032 10828 13052 16064 21656 26104 32128 35191 43312 52208 70382 86624 104416 140764 173248 208832 281528 346496 417664 563056 679457 1126112 1358914 2252224 2717828 4504448 5435656 8832941 10871312 17665882 21742624 35331764 43485248 70663528 86970496 141327056 282654112 565308224 1130616448