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104720000 = 275471117
BaseRepresentation
bin1100011110111…
…10011010000000
321022001022211112
412033132122000
5203302020000
614220302452
72411051060
oct617363200
9238038745
10104720000
1154125760
122b0a1a28
1318906cc8
14dc9d3a0
1592d8235
hex63de680

104720000 has 320 divisors, whose sum is σ = 344139840. Its totient is φ = 30720000.

The previous prime is 104719913. The next prime is 104720003. The reversal of 104720000 is 27401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (104720003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 6159992 + ... + 6160008.

It is an arithmetic number, because the mean of its divisors is an integer number (1075437).

Almost surely, 2104720000 is an apocalyptic number.

104720000 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 104720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172069920).

104720000 is an abundant number, since it is smaller than the sum of its proper divisors (239419840).

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

104720000 is an equidigital number, since it uses as much as digits as its factorization.

104720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 104720000 is about 10233.2790443728. The cubic root of 104720000 is about 471.3496741463.

Adding to 104720000 its reverse (27401), we get a palindrome (104747401).

The spelling of 104720000 in words is "one hundred four million, seven hundred twenty thousand".