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103680808 = 23711374549
BaseRepresentation
bin1100010111000…
…00101100101000
321020002112022221
412023200230220
5203020241213
614142123424
72366162260
oct613405450
9236075287
10103680808
1153585a20
122a880574
1318631cba
14daac7a0
15918038d
hex62e0b28

103680808 has 64 divisors (see below), whose sum is σ = 248976000. Its totient is φ = 39294720.

The previous prime is 103680799. The next prime is 103680809. The reversal of 103680808 is 808086301.

It is not an unprimeable number, because it can be changed into a prime (103680809) by changing a digit.

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, 20518 + ... + 25066.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2103680808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103680808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488000).

103680808 is an abundant number, since it is smaller than the sum of its proper divisors (145295192).

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

103680808 is a wasteful number, since it uses less digits than its factorization.

103680808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 103680808 is about 10182.3773255561. The cubic root of 103680808 is about 469.7853373125.

The spelling of 103680808 in words is "one hundred three million, six hundred eighty thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2849 3256 4549 5698 9098 11396 18196 22792 31843 36392 50039 63686 100078 127372 168313 200156 254744 336626 350273 400312 673252 700546 1178191 1346504 1401092 1851443 2356382 2802184 3702886 4712764 7405772 9425528 12960101 14811544 25920202 51840404 103680808