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4540024320 = 293513371229
BaseRepresentation
bin1000011101001101…
…10100011000000000
3102201101212010112220
410032212310120000
533244221234240
62030300251040
7220335366336
oct41646643000
912641763486
104540024320
111a1a7a8517
12a68540a80
1357477b430
14310d67b56
151b88975d0
hex10e9b4600

4540024320 has 320 divisors, whose sum is σ = 16065846720. Its totient is φ = 1086455808.

The previous prime is 4540024297. The next prime is 4540024381. The reversal of 4540024320 is 234200454.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×45400243202 = 41223641652382924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3693466 + ... + 3694694.

It is an arithmetic number, because the mean of its divisors is an integer number (50205771).

Almost surely, 24540024320 is an apocalyptic number.

4540024320 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 4540024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032923360).

4540024320 is an abundant number, since it is smaller than the sum of its proper divisors (11525822400).

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

4540024320 is a wasteful number, since it uses less digits than its factorization.

4540024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4540024320 is about 67379.7025817122. The cubic root of 4540024320 is about 1655.8439022973.

Adding to 4540024320 its reverse (234200454), we get a palindrome (4774224774).

The spelling of 4540024320 in words is "four billion, five hundred forty million, twenty-four thousand, three hundred twenty".