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103993308 = 2236191877
BaseRepresentation
bin1100011001011…
…00111111011100
321020200102000000
412030230333130
5203110241213
614152534300
72401633326
oct614547734
9236612000
10103993308
1153779791
122a9b1390
1318711303
14db50616
1591e2c73
hex632cfdc

103993308 has 84 divisors (see below), whose sum is σ = 287371560. Its totient is φ = 32822496.

The previous prime is 103993291. The next prime is 103993321. The reversal of 103993308 is 803399301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 54466 + ... + 56342.

It is an arithmetic number, because the mean of its divisors is an integer number (3421090).

Almost surely, 2103993308 is an apocalyptic number.

103993308 is a gapful number since it is divisible by the number (18) 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 103993308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143685780).

103993308 is an abundant number, since it is smaller than the sum of its proper divisors (183378252).

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

103993308 is a wasteful number, since it uses less digits than its factorization.

103993308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 103993308 is about 10197.7109196133. The cubic root of 103993308 is about 470.2568507049.

The spelling of 103993308 in words is "one hundred three million, nine hundred ninety-three thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 729 972 1026 1458 1539 1877 2052 2916 3078 3754 4617 5631 6156 7508 9234 11262 13851 16893 18468 22524 27702 33786 35663 50679 55404 67572 71326 101358 106989 142652 152037 202716 213978 304074 320967 427956 456111 608148 641934 912222 962901 1283868 1368333 1824444 1925802 2736666 2888703 3851604 5473332 5777406 8666109 11554812 17332218 25998327 34664436 51996654 103993308