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103799664 = 2433241997
BaseRepresentation
bin1100010111111…
…01101101110000
321020022120101000
412023331231300
5203033042124
614144442000
72400165633
oct613755560
9236276330
10103799664
1153657251
122a919300
1318674127
14daddc1a
1591a56c9
hex62fdb70

103799664 has 80 divisors (see below), whose sum is σ = 299479840. Its totient is φ = 34421760.

The previous prime is 103799651. The next prime is 103799669. The reversal of 103799664 is 466997301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103799669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103614 + ... + 104610.

It is an arithmetic number, because the mean of its divisors is an integer number (3743498).

Almost surely, 2103799664 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 103799664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149739920).

103799664 is an abundant number, since it is smaller than the sum of its proper divisors (195680176).

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

103799664 is a wasteful number, since it uses less digits than its factorization.

103799664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 103799664 is about 10188.2120119283. The cubic root of 103799664 is about 469.9647838409.

The spelling of 103799664 in words is "one hundred three million, seven hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 241 432 482 723 964 997 1446 1928 1994 2169 2892 2991 3856 3988 4338 5784 5982 6507 7976 8676 8973 11568 11964 13014 15952 17352 17946 23928 26028 26919 34704 35892 47856 52056 53838 71784 104112 107676 143568 215352 240277 430704 480554 720831 961108 1441662 1922216 2162493 2883324 3844432 4324986 5766648 6487479 8649972 11533296 12974958 17299944 25949916 34599888 51899832 103799664