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104328000 = 263453723
BaseRepresentation
bin1100011011111…
…10101101000000
321021022102010000
412031332231000
5203201444000
614204040000
72404526160
oct615765500
9237272100
10104328000
1153988197
122ab33000
13187ca75a
14dbda5a0
15925c000
hex637eb40

104328000 has 560 divisors, whose sum is σ = 460272384. Its totient is φ = 22809600.

The previous prime is 104327999. The next prime is 104328001. The reversal of 104328000 is 823401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104327999) and next prime (104328001).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104328001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4535989 + ... + 4536011.

Almost surely, 2104328000 is an apocalyptic number.

104328000 is a gapful number since it is divisible by the number (10) 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 104328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230136192).

104328000 is an abundant number, since it is smaller than the sum of its proper divisors (355944384).

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

104328000 is an equidigital number, since it uses as much as digits as its factorization.

104328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

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

The square root of 104328000 is about 10214.1078905600. The cubic root of 104328000 is about 470.7608019075.

The spelling of 104328000 in words is "one hundred four million, three hundred twenty-eight thousand".