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1130104632 = 2332318111311
BaseRepresentation
bin100001101011100…
…0000011100111000
32220202111021010010
41003113000130320
54303301322012
6304050021520
740001505456
oct10327003470
92822437103
101130104632
1152aa07378
122765778a0
13150191487
14aa1379d6
1569330c3c
hex435c0738

1130104632 has 64 divisors (see below), whose sum is σ = 2964648960. Its totient is φ = 358300800.

The previous prime is 1130104603. The next prime is 1130104649. The reversal of 1130104632 is 2364010311.

It is a junction number, because it is equal to n+sod(n) for n = 1130104599 and 1130104608.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 94257 + ... + 105567.

It is an arithmetic number, because the mean of its divisors is an integer number (46322640).

Almost surely, 21130104632 is an apocalyptic number.

1130104632 is a gapful number since it is divisible by the number (12) 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 1130104632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482324480).

1130104632 is an abundant number, since it is smaller than the sum of its proper divisors (1834544328).

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

1130104632 is a wasteful number, since it uses less digits than its factorization.

1130104632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524 (or 11520 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1130104632 is about 33617.0288990565. The cubic root of 1130104632 is about 1041.6125845870.

Adding to 1130104632 its reverse (2364010311), we get a palindrome (3494114943).

The spelling of 1130104632 in words is "one billion, one hundred thirty million, one hundred four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 181 184 276 362 543 552 724 1086 1448 2172 4163 4344 8326 11311 12489 16652 22622 24978 33304 33933 45244 49956 67866 90488 99912 135732 260153 271464 520306 780459 1040612 1560918 2047291 2081224 3121836 4094582 6141873 6243672 8189164 12283746 16378328 24567492 47087693 49134984 94175386 141263079 188350772 282526158 376701544 565052316 1130104632