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104314140 = 223257211827
BaseRepresentation
bin1100011011110…
…11010100011100
321021021201002200
412031323110130
5203201023030
614203451500
72404440600
oct615732434
9237251080
10104314140
1153978837
122ab26b90
13187c4358
14dbd5500
159257d60
hex637b51c

104314140 has 108 divisors (see below), whose sum is σ = 368111016. Its totient is φ = 23841216.

The previous prime is 104314139. The next prime is 104314157. The reversal of 104314140 is 41413401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2907 + ... + 14733.

Almost surely, 2104314140 is an apocalyptic number.

104314140 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 104314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184055508).

104314140 is an abundant number, since it is smaller than the sum of its proper divisors (263796876).

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

104314140 is a wasteful number, since it uses less digits than its factorization.

104314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104314140 is about 10213.4293946744. The cubic root of 104314140 is about 470.7399540888.

Adding to 104314140 its reverse (41413401), we get a palindrome (145727541).

The spelling of 104314140 in words is "one hundred four million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 11827 23654 35481 47308 59135 70962 82789 106443 118270 141924 165578 177405 212886 236540 248367 331156 354810 413945 425772 496734 532215 579523 709620 745101 827890 993468 1064430 1159046 1241835 1490202 1655780 1738569 2128860 2318092 2483670 2897615 2980404 3477138 3725505 4967340 5215707 5795230 6954276 7451010 8692845 10431414 11590460 14902020 17385690 20862828 26078535 34771380 52157070 104314140