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4123104 = 253291481
BaseRepresentation
bin1111101110100111100000
321202110211120
433232213200
52023414404
6224212240
750021466
oct17564740
97673746
104123104
112366827
12146a080
13b1490b
14794836
155669d9
hex3ee9e0

4123104 has 48 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 1326080.

The previous prime is 4123099. The next prime is 4123111. The reversal of 4123104 is 4013214.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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, 2044 + ... + 3524.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 24123104 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 4123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

4123104 is an abundant number, since it is smaller than the sum of its proper divisors (7080816).

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

4123104 is a wasteful number, since it uses less digits than its factorization.

4123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4123104 is about 2030.5427845776. The cubic root of 4123104 is about 160.3521410772.

Adding to 4123104 its reverse (4013214), we get a palindrome (8136318).

The spelling of 4123104 in words is "four million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 1481 2784 2962 4443 5924 8886 11848 17772 23696 35544 42949 47392 71088 85898 128847 142176 171796 257694 343592 515388 687184 1030776 1374368 2061552 4123104