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104314200 = 23352237559
BaseRepresentation
bin1100011011110…
…11010101011000
321021021201011220
412031323111120
5203201023300
614203452040
72404441014
oct615732530
9237251156
10104314200
1153978891
122ab27020
13187c43a3
14dbd5544
159257da0
hex637b558

104314200 has 96 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 26604160.

The previous prime is 104314157. The next prime is 104314241. The reversal of 104314200 is 2413401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104314200.

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, 10021 + ... + 17579.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2104314200 is an apocalyptic number.

104314200 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 104314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

104314200 is an abundant number, since it is smaller than the sum of its proper divisors (233164200).

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

104314200 is a wasteful number, since it uses less digits than its factorization.

104314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7592 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 104314200 is about 10213.4323319832. The cubic root of 104314200 is about 470.7400443431.

Adding to 104314200 its reverse (2413401), we get a palindrome (106727601).

The spelling of 104314200 in words is "one hundred four million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 7559 13800 15118 22677 30236 37795 45354 60472 75590 90708 113385 151180 173857 181416 188975 226770 302360 347714 377950 453540 521571 566925 695428 755900 869285 907080 1043142 1133850 1390856 1511800 1738570 2086284 2267700 2607855 3477140 4172568 4346425 4535400 5215710 6954280 8692850 10431420 13039275 17385700 20862840 26078550 34771400 52157100 104314200