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4540320 = 253351051
BaseRepresentation
bin10001010100011110100000
322112200011000
4101110132200
52130242240
6241152000
753410041
oct21243640
98480130
104540320
112621234
12162b600
13c2c7a5
148628c8
155ea430
hex4547a0

4540320 has 96 divisors (see below), whose sum is σ = 15906240. Its totient is φ = 1209600.

The previous prime is 4540313. The next prime is 4540337. The reversal of 4540320 is 230454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45403202 = 41229011404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 4540293 and 4540302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3795 + ... + 4845.

It is an arithmetic number, because the mean of its divisors is an integer number (165690).

Almost surely, 24540320 is an apocalyptic number.

4540320 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 4540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953120).

4540320 is an abundant number, since it is smaller than the sum of its proper divisors (11365920).

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

4540320 is a wasteful number, since it uses less digits than its factorization.

4540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4540320 is about 2130.8026656638. The cubic root of 4540320 is about 165.5879848455.

Adding to 4540320 its reverse (230454), we get a palindrome (4770774).

The spelling of 4540320 in words is "four million, five hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1051 1080 1440 2102 2160 3153 4204 4320 5255 6306 8408 9459 10510 12612 15765 16816 18918 21020 25224 28377 31530 33632 37836 42040 47295 50448 56754 63060 75672 84080 94590 100896 113508 126120 141885 151344 168160 189180 227016 252240 283770 302688 378360 454032 504480 567540 756720 908064 1135080 1513440 2270160 4540320