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117124 = 2274789
BaseRepresentation
bin11100100110000100
312221122221
4130212010
512221444
62302124
7665320
oct344604
9187587
10117124
117aaa7
1257944
1341407
1430980
1524a84
hex1c984

117124 has 24 divisors (see below), whose sum is σ = 241920. Its totient is φ = 48576.

The previous prime is 117119. The next prime is 117127. The reversal of 117124 is 421711.

117124 is nontrivially palindromic in base 11.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 117098 and 117107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1272 + ... + 1360.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2117124 is an apocalyptic number.

117124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

117124 is an abundant number, since it is smaller than the sum of its proper divisors (124796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117124 is a wasteful number, since it uses less digits than its factorization.

117124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

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

The square root of 117124 is about 342.2338381867. The cubic root of 117124 is about 48.9270050165.

Adding to 117124 its reverse (421711), we get a palindrome (538835).

The spelling of 117124 in words is "one hundred seventeen thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 7 14 28 47 89 94 178 188 329 356 623 658 1246 1316 2492 4183 8366 16732 29281 58562 117124