Search a number
-
+
103726961 = 133311523
BaseRepresentation
bin1100010111010…
…11111101110001
321020011212122022
412023223331301
5203023230321
614143121225
72366443652
oct613537561
9236155568
10103726961
1153607668
122a8a3215
131864a000
14dac1529
15918ddab
hex62ebf71

103726961 has 16 divisors (see below), whose sum is σ = 116067840. Its totient is φ = 92598480.

The previous prime is 103726957. The next prime is 103726963. The reversal of 103726961 is 169627301.

It is not a de Polignac number, because 103726961 - 22 = 103726957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103726963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67346 + ... + 68868.

It is an arithmetic number, because the mean of its divisors is an integer number (7254240).

Almost surely, 2103726961 is an apocalyptic number.

It is an amenable number.

103726961 is a deficient number, since it is larger than the sum of its proper divisors (12340879).

103726961 is an equidigital number, since it uses as much as digits as its factorization.

103726961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 103726961 is about 10184.6433909097. The cubic root of 103726961 is about 469.8550345132.

The spelling of 103726961 in words is "one hundred three million, seven hundred twenty-six thousand, nine hundred sixty-one".

Divisors: 1 13 31 169 403 1523 2197 5239 19799 47213 68107 257387 613769 3346031 7978997 103726961