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104523120 = 24325132859
BaseRepresentation
bin1100011101011…
…10010101110000
321021200022202200
412032232111300
5203224214440
614212143200
72406301062
oct616562560
9237608680
10104523120
1154000849
122b007b00
1318868500
14dc4b732
159299c30
hex63ae570

104523120 has 180 divisors, whose sum is σ = 380544840. Its totient is φ = 25698816.

The previous prime is 104523091. The next prime is 104523131. The reversal of 104523120 is 21325401.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1045231202 = 21850165229068800, which contains 22 as substring.

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 = 104523093 and 104523102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121251 + ... + 122109.

It is an arithmetic number, because the mean of its divisors is an integer number (2114138).

Almost surely, 2104523120 is an apocalyptic number.

104523120 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 104523120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190272420).

104523120 is an abundant number, since it is smaller than the sum of its proper divisors (276021720).

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

104523120 is a wasteful number, since it uses less digits than its factorization.

104523120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 104523120 is about 10223.6549237540. The cubic root of 104523120 is about 471.0541001051.

Adding to 104523120 its reverse (21325401), we get a palindrome (125848521).

The spelling of 104523120 in words is "one hundred four million, five hundred twenty-three thousand, one hundred twenty".