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104432020 = 225711173989
BaseRepresentation
bin1100011100110…
…00000110010100
321021111200210121
412032120012110
5203213311040
614210201324
72405441350
oct616300624
9237450717
10104432020
1153a49360
122ab83244
1318835bc4
14dc26460
15927cc4a
hex6398194

104432020 has 96 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 30627840.

The previous prime is 104432017. The next prime is 104432033. The reversal of 104432020 is 20234401.

It is a junction number, because it is equal to n+sod(n) for n = 104431985 and 104432003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24186 + ... + 28174.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2104432020 is an apocalyptic number.

104432020 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 104432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

104432020 is an abundant number, since it is smaller than the sum of its proper divisors (185146220).

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

104432020 is a wasteful number, since it uses less digits than its factorization.

104432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 104432020 is about 10219.1985987160. The cubic root of 104432020 is about 470.9172069408.

Adding to 104432020 its reverse (20234401), we get a palindrome (124666421).

The spelling of 104432020 in words is "one hundred four million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 770 935 1190 1309 1540 1870 2380 2618 3740 3989 5236 6545 7978 13090 15956 19945 26180 27923 39890 43879 55846 67813 79780 87758 111692 135626 139615 175516 219395 271252 279230 307153 339065 438790 474691 558460 614306 678130 745943 877580 949382 1228612 1356260 1491886 1535765 1898764 2373455 2983772 3071530 3729715 4746910 5221601 6143060 7459430 9493820 10443202 14918860 20886404 26108005 52216010 104432020