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103727693 = 1729210401
BaseRepresentation
bin1100010111011…
…00001001001101
321020011220122102
412023230021031
5203023241233
614143124445
72366446046
oct613541115
9236156572
10103727693
1153608173
122a8a3725
131864a444
14dac18cd
15918e1e8
hex62ec24d

103727693 has 8 divisors (see below), whose sum is σ = 113617080. Its totient is φ = 94259200.

The previous prime is 103727651. The next prime is 103727699. The reversal of 103727693 is 396727301.

It can be written as a sum of positive squares in 4 ways, for example, as 28697449 + 75030244 = 5357^2 + 8662^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103727693 - 222 = 99533389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103727699) 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, 104708 + ... + 105693.

It is an arithmetic number, because the mean of its divisors is an integer number (14202135).

Almost surely, 2103727693 is an apocalyptic number.

It is an amenable number.

103727693 is a deficient number, since it is larger than the sum of its proper divisors (9889387).

103727693 is a wasteful number, since it uses less digits than its factorization.

103727693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210447.

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 103727693 is about 10184.6793273033. The cubic root of 103727693 is about 469.8561397645.

The spelling of 103727693 in words is "one hundred three million, seven hundred twenty-seven thousand, six hundred ninety-three".

Divisors: 1 17 29 493 210401 3576817 6101629 103727693