Search a number
-
+
104300000 = 25557149
BaseRepresentation
bin1100011011101…
…11110111100000
321021020222200222
412031313313200
5203200100000
614203302212
72404351430
oct615676740
9237228628
10104300000
1153969152
122ab1a968
13187baa9c
14dbd02c0
159253a85
hex6377de0

104300000 has 144 divisors (see below), whose sum is σ = 295293600. Its totient is φ = 35520000.

The previous prime is 104299997. The next prime is 104300033. The reversal of 104300000 is 3401.

104300000 = T446 + T447 + ... + T893.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699926 + ... + 700074.

It is an arithmetic number, because the mean of its divisors is an integer number (2050650).

Almost surely, 2104300000 is an apocalyptic number.

104300000 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 104300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147646800).

104300000 is an abundant number, since it is smaller than the sum of its proper divisors (190993600).

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

104300000 is an frugal number, since it uses more digits than its factorization.

104300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 104300000 is about 10212.7371453494. The cubic root of 104300000 is about 470.7186831990.

Adding to 104300000 its reverse (3401), we get a palindrome (104303401).

The spelling of 104300000 in words is "one hundred four million, three hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 149 160 175 200 224 250 280 298 350 400 500 560 596 625 700 745 800 875 1000 1043 1120 1192 1250 1400 1490 1750 2000 2086 2384 2500 2800 2980 3125 3500 3725 4000 4172 4375 4768 5000 5215 5600 5960 6250 7000 7450 8344 8750 10000 10430 11920 12500 14000 14900 16688 17500 18625 20000 20860 21875 23840 25000 26075 28000 29800 33376 35000 37250 41720 43750 50000 52150 59600 70000 74500 83440 87500 93125 100000 104300 119200 130375 140000 149000 166880 175000 186250 208600 260750 298000 350000 372500 417200 465625 521500 596000 651875 700000 745000 834400 931250 1043000 1303750 1490000 1862500 2086000 2607500 2980000 3259375 3725000 4172000 5215000 6518750 7450000 10430000 13037500 14900000 20860000 26075000 52150000 104300000