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103680399 = 3173165579
BaseRepresentation
bin1100010111000…
…00100110001111
321020002111202210
412023200212033
5203020233044
614142121503
72366161134
oct613404617
9236074683
10103680399
1153585689
122a880293
1318631a64
14daac58b
1591801b9
hex62e098f

103680399 has 16 divisors (see below), whose sum is σ = 151096320. Its totient is φ = 62954880.

The previous prime is 103680383. The next prime is 103680403. The reversal of 103680399 is 993086301.

It is not a de Polignac number, because 103680399 - 24 = 103680383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103680329) 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 15 ways as a sum of consecutive naturals, for example, 31209 + ... + 34370.

It is an arithmetic number, because the mean of its divisors is an integer number (9443520).

Almost surely, 2103680399 is an apocalyptic number.

103680399 is a deficient number, since it is larger than the sum of its proper divisors (47415921).

103680399 is a wasteful number, since it uses less digits than its factorization.

103680399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65630.

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 103680399 is about 10182.3572418178. The cubic root of 103680399 is about 469.7847195754.

The spelling of 103680399 in words is "one hundred three million, six hundred eighty thousand, three hundred ninety-nine".

Divisors: 1 3 17 31 51 93 527 1581 65579 196737 1114843 2032949 3344529 6098847 34560133 103680399