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103841040 = 2435735927
BaseRepresentation
bin1100011000001…
…11110100010000
321020101200010110
412030013310100
5203040403130
614145401320
72400430362
oct614076420
9236350113
10103841040
1153685346
122a939240
1318689c04
14db10d32
1591b2ab0
hex6307d10

103841040 has 80 divisors (see below), whose sum is σ = 326371968. Its totient is φ = 27307008.

The previous prime is 103841033. The next prime is 103841053. The reversal of 103841040 is 40148301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 103840998 and 103841016.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14557 + ... + 20483.

Almost surely, 2103841040 is an apocalyptic number.

103841040 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 103841040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163185984).

103841040 is an abundant number, since it is smaller than the sum of its proper divisors (222530928).

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

103841040 is a wasteful number, since it uses less digits than its factorization.

103841040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 103841040 is about 10190.2423916215. The cubic root of 103841040 is about 470.0272203942.

Adding to 103841040 its reverse (40148301), we get a palindrome (143989341).

The spelling of 103841040 in words is "one hundred three million, eight hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 5927 8760 11854 17520 17781 23708 29635 35562 47416 59270 71124 88905 94832 118540 142248 177810 237080 284496 355620 432671 474160 711240 865342 1298013 1422480 1730684 2163355 2596026 3461368 4326710 5192052 6490065 6922736 8653420 10384104 12980130 17306840 20768208 25960260 34613680 51920520 103841040