Search a number
-
+
4534531320 = 2335113435251
BaseRepresentation
bin1000011100100011…
…10111010011111000
3102201000112001120110
410032101313103320
533241320000240
62025542424320
7220240610634
oct41621672370
912630461513
104534531320
111a17696550
12a667320a0
135735a7137
14310337dc4
151b815ec80
hex10e4774f8

4534531320 has 64 divisors (see below), whose sum is σ = 14840288640. Its totient is φ = 1099280000.

The previous prime is 4534531303. The next prime is 4534531327. The reversal of 4534531320 is 231354354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4534531327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1716306 + ... + 1718945.

It is an arithmetic number, because the mean of its divisors is an integer number (231879510).

Almost surely, 24534531320 is an apocalyptic number.

4534531320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4534531320 is an abundant number, since it is smaller than the sum of its proper divisors (10305757320).

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

4534531320 is a wasteful number, since it uses less digits than its factorization.

4534531320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435276 (or 3435272 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 4534531320 is about 67338.9287114073. The cubic root of 4534531320 is about 1655.1758279557.

Adding to 4534531320 its reverse (231354354), we get a palindrome (4765885674).

The spelling of 4534531320 in words is "four billion, five hundred thirty-four million, five hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3435251 6870502 10305753 13741004 17176255 20611506 27482008 34352510 37787761 41223012 51528765 68705020 75575522 82446024 103057530 113363283 137410040 151151044 188938805 206115060 226726566 302302088 377877610 412230120 453453132 566816415 755755220 906906264 1133632830 1511510440 2267265660 4534531320