Search a number
-
+
1134283520 = 2851752127
BaseRepresentation
bin100001110011011…
…1100101100000000
32221001100120110202
41003212330230000
54310334033040
6304315344332
740052152016
oct10346745400
92831316422
101134283520
11532300aa7
12277a520a8
13150cc55a6
14aa9048b6
15698a9015
hex439bcb00

1134283520 has 72 divisors (see below), whose sum is σ = 2876840064. Its totient is φ = 427016192.

The previous prime is 1134283499. The next prime is 1134283523. The reversal of 1134283520 is 253824311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1134283523) 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 7 ways as a sum of consecutive naturals, for example, 4304 + ... + 47823.

It is an arithmetic number, because the mean of its divisors is an integer number (39956112).

Almost surely, 21134283520 is an apocalyptic number.

1134283520 is a gapful number since it is divisible by the number (10) 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 1134283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438420032).

1134283520 is an abundant number, since it is smaller than the sum of its proper divisors (1742556544).

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

1134283520 is an equidigital number, since it uses as much as digits as its factorization.

1134283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52165 (or 52151 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1134283520 is about 33679.1258793930. The cubic root of 1134283520 is about 1042.8948930209.

The spelling of 1134283520 in words is "one billion, one hundred thirty-four million, two hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 52127 104254 208508 260635 417016 521270 834032 886159 1042540 1668064 1772318 2085080 3336128 3544636 4170160 4430795 6672256 7089272 8340320 8861590 13344512 14178544 16680640 17723180 28357088 33361280 35446360 56714176 66722560 70892720 113428352 141785440 226856704 283570880 567141760 1134283520