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4087104 = 26373041
BaseRepresentation
bin1111100101110101000000
321200122110020
433211311000
52021241404
6223333440
746511520
oct17456500
97618406
104087104
11234177a
121451280
13b01408
14785680
1555aed9
hex3e5d40

4087104 has 56 divisors (see below), whose sum is σ = 12362688. Its totient is φ = 1167360.

The previous prime is 4087093. The next prime is 4087141. The reversal of 4087104 is 4017804.

4087104 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 177 + ... + 2864.

Almost surely, 24087104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181344).

4087104 is an abundant number, since it is smaller than the sum of its proper divisors (8275584).

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

4087104 is a wasteful number, since it uses less digits than its factorization.

4087104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4087104 is about 2021.6587249088. The cubic root of 4087104 is about 159.8840827068.

The spelling of 4087104 in words is "four million, eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3041 6082 9123 12164 18246 21287 24328 36492 42574 48656 63861 72984 85148 97312 127722 145968 170296 194624 255444 291936 340592 510888 583872 681184 1021776 1362368 2043552 4087104