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1130163232 = 25112714111
BaseRepresentation
bin100001101011100…
…1110110000100000
32220202121020111111
41003113032300200
54303310210412
6304051153104
740002141352
oct10327166040
92822536444
101130163232
1152aa47400
122765a5794
131501b2053
14aa1510d2
15693432a7
hex435cec20

1130163232 has 72 divisors (see below), whose sum is σ = 2480720256. Its totient is φ = 506352000.

The previous prime is 1130163227. The next prime is 1130163239. The reversal of 1130163232 is 2323610311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1130163239) 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 11 ways as a sum of consecutive naturals, for example, 272857 + ... + 276967.

It is an arithmetic number, because the mean of its divisors is an integer number (34454448).

Almost surely, 21130163232 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 1130163232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240360128).

1130163232 is an abundant number, since it is smaller than the sum of its proper divisors (1350557024).

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

1130163232 is a wasteful number, since it uses less digits than its factorization.

1130163232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1130163232 is about 33617.9004698390. The cubic root of 1130163232 is about 1041.6305880653.

Adding to 1130163232 its reverse (2323610311), we get a palindrome (3453773543).

The spelling of 1130163232 in words is "one billion, one hundred thirty million, one hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 121 142 176 242 284 352 484 568 781 968 1136 1562 1936 2272 3124 3872 4111 6248 8222 8591 12496 16444 17182 24992 32888 34364 45221 65776 68728 90442 131552 137456 180884 274912 291881 361768 497431 583762 723536 994862 1167524 1447072 1989724 2335048 3210691 3979448 4670096 6421382 7958896 9340192 12842764 15917792 25685528 35317601 51371056 70635202 102742112 141270404 282540808 565081616 1130163232