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104913300 = 223522931389
BaseRepresentation
bin1100100000011…
…01100110010100
321022102010222210
412100031212110
5203324211200
614224353420
72412514452
oct620154624
9238363883
10104913300
1154247a08
122b175870
1318973c9b
14dd0d9d2
159325650
hex640d994

104913300 has 144 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 26073600.

The previous prime is 104913287. The next prime is 104913379. The reversal of 104913300 is 3319401.

It is a super-2 number, since 2×1049133002 = 22013601033780000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 269506 + ... + 269894.

It is an arithmetic number, because the mean of its divisors is an integer number (2256800).

Almost surely, 2104913300 is an apocalyptic number.

104913300 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 104913300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

104913300 is an abundant number, since it is smaller than the sum of its proper divisors (220065900).

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

104913300 is a wasteful number, since it uses less digits than its factorization.

104913300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 104913300 is about 10242.7193654810. The cubic root of 104913300 is about 471.6395133654.

The spelling of 104913300 in words is "one hundred four million, nine hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 31 50 58 60 62 75 87 93 100 116 124 145 150 155 174 186 290 300 310 348 372 389 435 465 580 620 725 775 778 870 899 930 1167 1450 1550 1556 1740 1798 1860 1945 2175 2325 2334 2697 2900 3100 3596 3890 4350 4495 4650 4668 5394 5835 7780 8700 8990 9300 9725 10788 11281 11670 12059 13485 17980 19450 22475 22562 23340 24118 26970 29175 33843 36177 38900 44950 45124 48236 53940 56405 58350 60295 67425 67686 72354 89900 112810 116700 120590 134850 135372 144708 169215 180885 225620 241180 269700 282025 301475 338430 349711 361770 564050 602950 676860 699422 723540 846075 904425 1049133 1128100 1205900 1398844 1692150 1748555 1808850 2098266 3384300 3497110 3617700 4196532 5245665 6994220 8742775 10491330 17485550 20982660 26228325 34971100 52456650 104913300