Search a number
-
+
104210000 = 245417613
BaseRepresentation
bin1100011011000…
…01111001010000
321021002102020122
412031201321100
5203134210000
614201325412
72403525146
oct615417120
9237072218
10104210000
1153907574
122aa96868
1318788b2b
14dba9596
159237085
hex6361e50

104210000 has 100 divisors (see below), whose sum is σ = 267579972. Its totient is φ = 39168000.

The previous prime is 104209997. The next prime is 104210023. The reversal of 104210000 is 12401.

It can be written as a sum of positive squares in 10 ways, for example, as 95961616 + 8248384 = 9796^2 + 2872^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 104210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169694 + ... + 170306.

Almost surely, 2104210000 is an apocalyptic number.

104210000 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 104210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133789986).

104210000 is an abundant number, since it is smaller than the sum of its proper divisors (163369972).

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

104210000 is an equidigital number, since it uses as much as digits as its factorization.

104210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 104210000 is about 10208.3299319722. The cubic root of 104210000 is about 470.5832505599.

Adding to 104210000 its reverse (12401), we get a palindrome (104222401).

The spelling of 104210000 in words is "one hundred four million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 613 625 680 850 1000 1226 1250 1360 1700 2000 2125 2452 2500 3065 3400 4250 4904 5000 6130 6800 8500 9808 10000 10421 10625 12260 15325 17000 20842 21250 24520 30650 34000 41684 42500 49040 52105 61300 76625 83368 85000 104210 122600 153250 166736 170000 208420 245200 260525 306500 383125 416840 521050 613000 766250 833680 1042100 1226000 1302625 1532500 2084200 2605250 3065000 4168400 5210500 6130000 6513125 10421000 13026250 20842000 26052500 52105000 104210000