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104704832 = 262383857
BaseRepresentation
bin1100011110110…
…10101101000000
321022000120000202
412033122231000
5203301023312
614220104332
72410655621
oct617325500
9238016022
10104704832
1154115321
122b0950a8
131890012b
14dc97a48
1592d39c2
hex63dab40

104704832 has 56 divisors (see below), whose sum is σ = 219675456. Its totient is φ = 49415168.

The previous prime is 104704829. The next prime is 104704867. The reversal of 104704832 is 238407401.

It is a junction number, because it is equal to n+sod(n) for n = 104704795 and 104704804.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 121748 + ... + 122604.

It is an arithmetic number, because the mean of its divisors is an integer number (3922776).

Almost surely, 2104704832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109837728).

104704832 is an abundant number, since it is smaller than the sum of its proper divisors (114970624).

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

104704832 is an equidigital number, since it uses as much as digits as its factorization.

104704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 104704832 is about 10232.5379061111. The cubic root of 104704832 is about 471.3269157523.

The spelling of 104704832 in words is "one hundred four million, seven hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 166 184 332 368 664 736 857 1328 1472 1714 1909 2656 3428 3818 5312 6856 7636 13712 15272 19711 27424 30544 39422 54848 61088 71131 78844 122176 142262 157688 284524 315376 569048 630752 1138096 1261504 1636013 2276192 3272026 4552384 6544052 13088104 26176208 52352416 104704832