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4024120 = 235372719
BaseRepresentation
bin1111010110011100111000
321120110001111
433112130320
52012232440
6222130104
746130062
oct17263470
97513044
104024120
1122a9421
121420934
13aab849
1476a732
155474ea
hex3d6738

4024120 has 32 divisors (see below), whose sum is σ = 9302400. Its totient is φ = 1565568.

The previous prime is 4024091. The next prime is 4024123. The reversal of 4024120 is 214204.

It is a self number, because there is not a number n which added to its sum of digits gives 4024120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024123) 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 7 ways as a sum of consecutive naturals, for example, 121 + ... + 2839.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 24024120 is an apocalyptic number.

4024120 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 4024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651200).

4024120 is an abundant number, since it is smaller than the sum of its proper divisors (5278280).

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

4024120 is a wasteful number, since it uses less digits than its factorization.

4024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4024120 is about 2006.0209370792. The cubic root of 4024120 is about 159.0585336222.

Adding to 4024120 its reverse (214204), we get a palindrome (4238324).

The spelling of 4024120 in words is "four million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2719 5438 10876 13595 21752 27190 54380 100603 108760 201206 402412 503015 804824 1006030 2012060 4024120