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104040200 = 235211192131
BaseRepresentation
bin1100011001110…
…00011100001000
321020202210022202
412030320130020
5203113241300
614153535332
72402220125
oct614703410
9236683282
10104040200
1153800a40
122aa14548
1318729764
14db6374c
159201ad5
hex6338708

104040200 has 144 divisors (see below), whose sum is σ = 280629360. Its totient is φ = 35568000.

The previous prime is 104040191. The next prime is 104040203. The reversal of 104040200 is 2040401.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (104040203) 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 35 ways as a sum of consecutive naturals, for example, 794135 + ... + 794265.

It is an arithmetic number, because the mean of its divisors is an integer number (1948815).

Almost surely, 2104040200 is an apocalyptic number.

104040200 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 104040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140314680).

104040200 is an abundant number, since it is smaller than the sum of its proper divisors (176589160).

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

104040200 is a wasteful number, since it uses less digits than its factorization.

104040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 104040200 is about 10200.0098039169. The cubic root of 104040200 is about 470.3275218250.

Adding to 104040200 its reverse (2040401), we get a palindrome (106080601).

The spelling of 104040200 in words is "one hundred four million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 131 152 190 200 209 220 262 275 361 380 418 440 475 524 550 655 722 760 836 950 1045 1048 1100 1310 1441 1444 1672 1805 1900 2090 2200 2489 2620 2882 2888 3275 3610 3800 3971 4180 4978 5225 5240 5764 6550 7205 7220 7942 8360 9025 9956 10450 11528 12445 13100 14410 14440 15884 18050 19855 19912 20900 24890 26200 27379 28820 31768 36025 36100 39710 41800 47291 49780 54758 57640 62225 72050 72200 79420 94582 99275 99560 109516 124450 136895 144100 158840 189164 198550 219032 236455 248900 273790 288200 378328 397100 472910 497800 520201 547580 684475 794200 945820 1040402 1095160 1182275 1368950 1891640 2080804 2364550 2601005 2737900 4161608 4729100 5202010 5475800 9458200 10404020 13005025 20808040 26010050 52020100 104040200