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104140140 = 223513197027
BaseRepresentation
bin1100011010100…
…00110101101100
321020221212102020
412031100311230
5203124441030
614200030140
72403114366
oct615206554
9236855366
10104140140
115386a035
122aa62350
13187630b0
14db8bd36
159221510
hex6350d6c

104140140 has 96 divisors (see below), whose sum is σ = 330597120. Its totient is φ = 24281856.

The previous prime is 104140117. The next prime is 104140171. The reversal of 104140140 is 41041401.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11307 + ... + 18333.

It is an arithmetic number, because the mean of its divisors is an integer number (3443720).

Almost surely, 2104140140 is an apocalyptic number.

104140140 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 104140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165298560).

104140140 is an abundant number, since it is smaller than the sum of its proper divisors (226456980).

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

104140140 is a wasteful number, since it uses less digits than its factorization.

104140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 104140140 is about 10204.9076428942. The cubic root of 104140140 is about 470.4780709712.

Adding to 104140140 its reverse (41041401), we get a palindrome (145181541).

The spelling of 104140140 in words is "one hundred four million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7027 7410 14054 14820 21081 28108 35135 42162 70270 84324 91351 105405 133513 140540 182702 210810 267026 274053 365404 400539 421620 456755 534052 548106 667565 801078 913510 1096212 1335130 1370265 1602156 1735669 1827020 2002695 2670260 2740530 3471338 4005390 5207007 5481060 6942676 8010780 8678345 10414014 17356690 20828028 26035035 34713380 52070070 104140140