Search a number
-
+
4724140320 = 253451033539
BaseRepresentation
bin1000110011001010…
…01010100100100000
3110012020022012020000
410121211022210200
534133334442240
62100434420000
7225032346564
oct43145124440
913166265200
104724140320
1120047215a9
12aba131600
135a3963903
1432b5b36a4
151c9b15430
hex11994a920

4724140320 has 240 divisors, whose sum is σ = 16838902080. Its totient is φ = 1247187456.

The previous prime is 4724140301. The next prime is 4724140321. The reversal of 4724140320 is 230414274.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4724140321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1333111 + ... + 1336649.

It is an arithmetic number, because the mean of its divisors is an integer number (70162092).

Almost surely, 24724140320 is an apocalyptic number.

4724140320 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 4724140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419451040).

4724140320 is an abundant number, since it is smaller than the sum of its proper divisors (12114761760).

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

4724140320 is a wasteful number, since it uses less digits than its factorization.

4724140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4724140320 is about 68732.3818880155. The cubic root of 4724140320 is about 1677.9316382183.

Adding to 4724140320 its reverse (230414274), we get a palindrome (4954554594).

The spelling of 4724140320 in words is "four billion, seven hundred twenty-four million, one hundred forty thousand, three hundred twenty".