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2104404120 = 2332571364237
BaseRepresentation
bin111110101101110…
…1010100010011000
312102122210210202100
41331123222202120
513302211412440
6544452403400
7103102065660
oct17533524230
95378723670
102104404120
1198a976a65
124a8916560
13276ca0650
1415d6b51a0
15c4b37230
hex7d6ea898

2104404120 has 192 divisors, whose sum is σ = 8417747520. Its totient is φ = 443999232.

The previous prime is 2104404091. The next prime is 2104404121. The reversal of 2104404120 is 214044012.

2104404120 is a `hidden beast` number, since 210 + 4 + 40 + 412 + 0 = 666.

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 = 2104404093 and 2104404102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104404121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642 + ... + 64878.

It is an arithmetic number, because the mean of its divisors is an integer number (43842435).

Almost surely, 22104404120 is an apocalyptic number.

2104404120 is a gapful number since it is divisible by the number (20) 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 2104404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208873760).

2104404120 is an abundant number, since it is smaller than the sum of its proper divisors (6313343400).

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

2104404120 is a wasteful number, since it uses less digits than its factorization.

2104404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64274 (or 64267 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2104404120 is about 45873.7846705501. The cubic root of 2104404120 is about 1281.4737501123.

Adding to 2104404120 its reverse (214044012), we get a palindrome (2318448132).

The spelling of 2104404120 in words is "two billion, one hundred four million, four hundred four thousand, one hundred twenty".