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104500032 = 2637135981
BaseRepresentation
bin1100011101010…
…00101101000000
321021122011002120
412032220231000
5203223000112
614211444240
72406143550
oct616505500
9237564076
10104500032
1153a9546a
122abb6680
131885ab50
14dc43160
159292e8c
hex63a8b40

104500032 has 112 divisors (see below), whose sum is σ = 340351872. Its totient is φ = 27555840.

The previous prime is 104500031. The next prime is 104500049. The reversal of 104500032 is 230005401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 104499984 and 104500020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104500031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14482 + ... + 20462.

It is an arithmetic number, because the mean of its divisors is an integer number (3038856).

Almost surely, 2104500032 is an apocalyptic number.

104500032 is a gapful number since it is divisible by the number (12) 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 104500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170175936).

104500032 is an abundant number, since it is smaller than the sum of its proper divisors (235851840).

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

104500032 is a wasteful number, since it uses less digits than its factorization.

104500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 104500032 is about 10222.5257153015. The cubic root of 104500032 is about 471.0194140059.

Adding to 104500032 its reverse (230005401), we get a palindrome (334505433).

The spelling of 104500032 in words is "one hundred four million, five hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 5981 8736 11962 17472 17943 23924 35886 41867 47848 71772 77753 83734 95696 125601 143544 155506 167468 191392 233259 251202 287088 311012 334936 382784 466518 502404 544271 574176 622024 669872 933036 1004808 1088542 1148352 1244048 1339744 1632813 1866072 2009616 2177084 2488096 2679488 3265626 3732144 4019232 4354168 4976192 6531252 7464288 8038464 8708336 13062504 14928576 17416672 26125008 34833344 52250016 104500032