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103731680 = 2551349871
BaseRepresentation
bin1100010111011…
…01000111100000
321020012010010002
412023231013200
5203023403210
614143155132
72366463503
oct613550740
9236163102
10103731680
1153610168
122a8a5aa8
131864c1c0
14dac313a
1591904a5
hex62ed1e0

103731680 has 48 divisors (see below), whose sum is σ = 263922624. Its totient is φ = 38300160.

The previous prime is 103731647. The next prime is 103731689. The reversal of 103731680 is 86137301.

It is a super-2 number, since 2×1037316802 = 21520522871244800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103731689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22856 + ... + 27015.

It is an arithmetic number, because the mean of its divisors is an integer number (5498388).

Almost surely, 2103731680 is an apocalyptic number.

103731680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103731680 is an abundant number, since it is smaller than the sum of its proper divisors (160190944).

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

103731680 is a wasteful number, since it uses less digits than its factorization.

103731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49899 (or 49891 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 103731680 is about 10184.8750605984. The cubic root of 103731680 is about 469.8621596691.

Adding to 103731680 its reverse (86137301), we get a palindrome (189868981).

The spelling of 103731680 in words is "one hundred three million, seven hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 49871 99742 199484 249355 398968 498710 648323 797936 997420 1296646 1595872 1994840 2593292 3241615 3989680 5186584 6483230 7979360 10373168 12966460 20746336 25932920 51865840 103731680