Search a number
-
+
4755234120 = 23357132194143
BaseRepresentation
bin1000110110110111…
…10001110101001000
3110021101210220220020
410123123301311020
534214314442440
62103505100440
7225560552220
oct43333616510
913241726806
104755234120
11202022985a
12b08627720
135aa22c700
14331789080
151cc7083d0
hex11b6f1d48

4755234120 has 768 divisors, whose sum is σ = 19479398400. Its totient is φ = 905748480.

The previous prime is 4755234097. The next prime is 4755234149. The reversal of 4755234120 is 214325574.

It is a super-2 number, since 2×47552341202 = 45224503072024348800, which contains 22 as substring.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 110586819 + ... + 110586861.

It is an arithmetic number, because the mean of its divisors is an integer number (25363800).

Almost surely, 24755234120 is an apocalyptic number.

4755234120 is a gapful number since it is divisible by the number (40) 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 4755234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739699200).

4755234120 is an abundant number, since it is smaller than the sum of its proper divisors (14724164280).

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

4755234120 is a wasteful number, since it uses less digits than its factorization.

4755234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 4755234120 is about 68958.2056031043. The cubic root of 4755234120 is about 1681.6049147392.

Adding to 4755234120 its reverse (214325574), we get a palindrome (4969559694).

The spelling of 4755234120 in words is "four billion, seven hundred fifty-five million, two hundred thirty-four thousand, one hundred twenty".