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4145520 = 243523751
BaseRepresentation
bin1111110100000101110000
321210121120210
433310011300
52030124040
6224504120
750144031
oct17640560
97717523
104145520
112381655
12147b040
13b21b92
1479ca88
1556d480
hex3f4170

4145520 has 80 divisors (see below), whose sum is σ = 13427712. Its totient is φ = 1056000.

The previous prime is 4145509. The next prime is 4145527. The reversal of 4145520 is 255414.

4145520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5145 + ... + 5895.

Almost surely, 24145520 is an apocalyptic number.

4145520 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 4145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713856).

4145520 is an abundant number, since it is smaller than the sum of its proper divisors (9282192).

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

4145520 is a wasteful number, since it uses less digits than its factorization.

4145520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4145520 is about 2036.0550090801. The cubic root of 4145520 is about 160.6422105033.

The spelling of 4145520 in words is "four million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 751 920 1104 1380 1502 1840 2253 2760 3004 3755 4506 5520 6008 7510 9012 11265 12016 15020 17273 18024 22530 30040 34546 36048 45060 51819 60080 69092 86365 90120 103638 138184 172730 180240 207276 259095 276368 345460 414552 518190 690920 829104 1036380 1381840 2072760 4145520