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4513234320 = 2432571078369
BaseRepresentation
bin1000011010000001…
…00111110110010000
3102122112110001120200
410031000213312100
533220341444240
62023502135200
7216561600360
oct41500476620
912575401520
104513234320
111a0666a821
12a5b581500
1356c05b56a
1430b5929a0
151b6354930
hex10d027d90

4513234320 has 240 divisors, whose sum is σ = 17486202240. Its totient is φ = 1021833216.

The previous prime is 4513234303. The next prime is 4513234321. The reversal of 4513234320 is 234323154.

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

It is not an unprimeable number, because it can be changed into a prime (4513234321) 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 47 ways as a sum of consecutive naturals, for example, 535096 + ... + 543464.

It is an arithmetic number, because the mean of its divisors is an integer number (72859176).

Almost surely, 24513234320 is an apocalyptic number.

4513234320 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 4513234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8743101120).

4513234320 is an abundant number, since it is smaller than the sum of its proper divisors (12972967920).

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

4513234320 is a wasteful number, since it uses less digits than its factorization.

4513234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 8493 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4513234320 is about 67180.6097025027. The cubic root of 4513234320 is about 1652.5805130738.

Adding to 4513234320 its reverse (234323154), we get a palindrome (4747557474).

The spelling of 4513234320 in words is "four billion, five hundred thirteen million, two hundred thirty-four thousand, three hundred twenty".