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2104432000 = 27531121087
BaseRepresentation
bin111110101101111…
…0001010110000000
312102122212012222221
41331123301112000
513302213311000
6544453140424
7103102243156
oct17533612600
95378765887
102104432000
1198a995a00
124a892a714
13276cb0248
1415d6c13d6
15c4b4061a
hex7d6f1580

2104432000 has 192 divisors, whose sum is σ = 5756325120. Its totient is φ = 764544000.

The previous prime is 2104431961. The next prime is 2104432007. The reversal of 2104432000 is 2344012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104432007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1935457 + ... + 1936543.

It is an arithmetic number, because the mean of its divisors is an integer number (29980860).

Almost surely, 22104432000 is an apocalyptic number.

2104432000 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 2104432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878162560).

2104432000 is an abundant number, since it is smaller than the sum of its proper divisors (3651893120).

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

2104432000 is a wasteful number, since it uses less digits than its factorization.

2104432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2104432000 is about 45874.0885468038. The cubic root of 2104432000 is about 1281.4794092488.

Adding to 2104432000 its reverse (2344012), we get a palindrome (2106776012).

The spelling of 2104432000 in words is "two billion, one hundred four million, four hundred thirty-two thousand".