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1133132320 = 25544915773
BaseRepresentation
bin100001110001010…
…0011101000100000
32220222012002022201
41003202203220200
54310040213240
6304234542544
740036315525
oct10342435040
92828162281
101133132320
115316950a1
12277597a54
131509b15c8
14aa6c514c
156972cd9a
hex438a3a20

1133132320 has 48 divisors (see below), whose sum is σ = 2683157400. Its totient is φ = 452214784.

The previous prime is 1133132311. The next prime is 1133132321. The reversal of 1133132320 is 232313311.

It can be written as a sum of positive squares in 4 ways, for example, as 989228304 + 143904016 = 31452^2 + 11996^2 .

It is not an unprimeable number, because it can be changed into a prime (1133132321) 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, 63954 + ... + 79726.

Almost surely, 21133132320 is an apocalyptic number.

1133132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133132320 is an abundant number, since it is smaller than the sum of its proper divisors (1550025080).

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

1133132320 is a wasteful number, since it uses less digits than its factorization.

1133132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16237 (or 16229 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1133132320 is about 33662.0308359433. The cubic root of 1133132320 is about 1042.5419574538.

Adding to 1133132320 its reverse (232313311), we get a palindrome (1365445631).

The spelling of 1133132320 in words is "one billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 449 898 1796 2245 3592 4490 7184 8980 14368 15773 17960 31546 35920 63092 71840 78865 126184 157730 252368 315460 504736 630920 1261840 2523680 7082077 14164154 28328308 35410385 56656616 70820770 113313232 141641540 226626464 283283080 566566160 1133132320