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103929 = 373101
BaseRepresentation
bin11001010111111001
312021120020
4121113321
511311204
62121053
7612000
oct312771
9167506
10103929
11710a1
1250189
13383c7
1429c37
1520bd9
hex195f9

103929 has 16 divisors (see below), whose sum is σ = 163200. Its totient is φ = 58800.

The previous prime is 103919. The next prime is 103951. The reversal of 103929 is 929301.

It is a happy number.

It is not a de Polignac number, because 103929 - 24 = 103913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103899 and 103908.

It is not an unprimeable number, because it can be changed into a prime (103919) 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, 979 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (10200).

2103929 is an apocalyptic number.

It is an amenable number.

103929 is a deficient number, since it is larger than the sum of its proper divisors (59271).

103929 is an equidigital number, since it uses as much as digits as its factorization.

103929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 103929 is about 322.3802103107. The cubic root of 103929 is about 47.0159897308.

It can be divided in two parts, 10392 and 9, that multiplied together give a triangular number (93528 = T432).

The spelling of 103929 in words is "one hundred three thousand, nine hundred twenty-nine".

Divisors: 1 3 7 21 49 101 147 303 343 707 1029 2121 4949 14847 34643 103929