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3804120 = 2332510567
BaseRepresentation
bin1110100000101111011000
321011021021100
432200233120
51433212440
6213311400
744222505
oct16405730
97137240
103804120
112169101
121335560
13a32678
147104ac
15502230
hex3a0bd8

3804120 has 48 divisors (see below), whose sum is σ = 12364560. Its totient is φ = 1014336.

The previous prime is 3804113. The next prime is 3804121. The reversal of 3804120 is 214083.

It is a happy number.

3804120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3804093 and 3804102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3804121) 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 11 ways as a sum of consecutive naturals, for example, 4924 + ... + 5643.

It is an arithmetic number, because the mean of its divisors is an integer number (257595).

Almost surely, 23804120 is an apocalyptic number.

3804120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3804120 is an abundant number, since it is smaller than the sum of its proper divisors (8560440).

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

3804120 is a wasteful number, since it uses less digits than its factorization.

3804120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3804120 is about 1950.4153403827. The cubic root of 3804120 is about 156.1054513844.

The spelling of 3804120 in words is "three million, eight hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 10567 21134 31701 42268 52835 63402 84536 95103 105670 126804 158505 190206 211340 253608 317010 380412 422680 475515 634020 760824 951030 1268040 1902060 3804120