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104347728 = 24322512887
BaseRepresentation
bin1100011100000…
…11100001010000
321021100102011200
412032003201100
5203203111403
614204311200
72404640532
oct616034120
9237312150
10104347728
11539a0aa1
122ab42500
1318806724
14dc03852
159262ca3
hex6383850

104347728 has 60 divisors (see below), whose sum is σ = 293293728. Its totient is φ = 34632000.

The previous prime is 104347723. The next prime is 104347741. The reversal of 104347728 is 827743401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104347692 and 104347701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104347723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34701 + ... + 37587.

Almost surely, 2104347728 is an apocalyptic number.

104347728 is a gapful number since it is divisible by the number (18) 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 104347728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146646864).

104347728 is an abundant number, since it is smaller than the sum of its proper divisors (188946000).

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

104347728 is a wasteful number, since it uses less digits than its factorization.

104347728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 104347728 is about 10215.0735680170. The cubic root of 104347728 is about 470.7904730209.

The spelling of 104347728 in words is "one hundred four million, three hundred forty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 502 753 1004 1506 2008 2259 2887 3012 4016 4518 5774 6024 8661 9036 11548 12048 17322 18072 23096 25983 34644 36144 46192 51966 69288 103932 138576 207864 415728 724637 1449274 2173911 2898548 4347822 5797096 6521733 8695644 11594192 13043466 17391288 26086932 34782576 52173864 104347728