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4023120 = 243516763
BaseRepresentation
bin1111010110001101010000
321120101200110
433112031100
52012214440
6222121320
746124133
oct17261520
97511613
104023120
1122a86a2
121420240
13aab25a
1476a21a
15547080
hex3d6350

4023120 has 40 divisors (see below), whose sum is σ = 12472416. Its totient is φ = 1072768.

The previous prime is 4023113. The next prime is 4023127. The reversal of 4023120 is 213204.

4023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4023113) and next prime (4023127).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4023096 and 4023105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023127) 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 7 ways as a sum of consecutive naturals, for example, 8142 + ... + 8621.

Almost surely, 24023120 is an apocalyptic number.

4023120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4023120 is an abundant number, since it is smaller than the sum of its proper divisors (8449296).

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

4023120 is a wasteful number, since it uses less digits than its factorization.

4023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16779 (or 16773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4023120 is about 2005.7716719507. The cubic root of 4023120 is about 159.0453571007.

Adding to 4023120 its reverse (213204), we get a palindrome (4236324).

The spelling of 4023120 in words is "four million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16763 33526 50289 67052 83815 100578 134104 167630 201156 251445 268208 335260 402312 502890 670520 804624 1005780 1341040 2011560 4023120