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104201040 = 24352343439
BaseRepresentation
bin1100011010111…
…11101101010000
321021001221221210
412031133231100
5203133413130
614201220120
72403460056
oct615375520
9237057853
10104201040
1153900869
122aa91640
1318784a28
14dba61d6
1592345b0
hex635fb50

104201040 has 160 divisors (see below), whose sum is σ = 345692160. Its totient is φ = 25901568.

The previous prime is 104201039. The next prime is 104201051. The reversal of 104201040 is 40102401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237141 + ... + 237579.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2104201040 is an apocalyptic number.

104201040 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 104201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846080).

104201040 is an abundant number, since it is smaller than the sum of its proper divisors (241491120).

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

104201040 is a wasteful number, since it uses less digits than its factorization.

104201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 104201040 is about 10207.8910652495. The cubic root of 104201040 is about 470.5697632210.

Adding to 104201040 its reverse (40102401), we get a palindrome (144303441).

The spelling of 104201040 in words is "one hundred four million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 43 46 48 60 69 80 86 92 115 120 129 138 172 184 215 230 240 258 276 344 345 368 430 439 460 516 552 645 688 690 860 878 920 989 1032 1104 1290 1317 1380 1720 1756 1840 1978 2064 2195 2580 2634 2760 2967 3440 3512 3956 4390 4945 5160 5268 5520 5934 6585 7024 7912 8780 9890 10097 10320 10536 11868 13170 14835 15824 17560 18877 19780 20194 21072 23736 26340 29670 30291 35120 37754 39560 40388 47472 50485 52680 56631 59340 60582 75508 79120 80776 94385 100970 105360 113262 118680 121164 151016 151455 161552 188770 201940 226524 237360 242328 283155 302032 302910 377540 403880 434171 453048 484656 566310 605820 755080 807760 868342 906096 1132620 1211640 1302513 1510160 1736684 2170855 2265240 2423280 2605026 3473368 4341710 4530480 5210052 6512565 6946736 8683420 10420104 13025130 17366840 20840208 26050260 34733680 52100520 104201040