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124117 = 7217149
BaseRepresentation
bin11110010011010101
320022020221
4132103111
512432432
62354341
71024600
oct362325
9208227
10124117
1185284
125b9b1
1344656
1433337
1526b97
hex1e4d5

124117 has 12 divisors (see below), whose sum is σ = 153900. Its totient is φ = 99456.

The previous prime is 124097. The next prime is 124121. The reversal of 124117 is 711421.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 70756 = 231^2 + 266^2 .

It is not a de Polignac number, because 124117 - 27 = 123989 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 124117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759 + ... + 907.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2124117 is an apocalyptic number.

124117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

124117 is a deficient number, since it is larger than the sum of its proper divisors (29783).

124117 is a wasteful number, since it uses less digits than its factorization.

124117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its digits is 56, while the sum is 16.

The square root of 124117 is about 352.3024269005. The cubic root of 124117 is about 49.8819883508.

Adding to 124117 its reverse (711421), we get a palindrome (835538).

The spelling of 124117 in words is "one hundred twenty-four thousand, one hundred seventeen", and thus it is an iban number.

Divisors: 1 7 17 49 119 149 833 1043 2533 7301 17731 124117