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116325 = 32521147
BaseRepresentation
bin11100011001100101
312220120100
4130121211
512210300
62254313
7663066
oct343145
9186510
10116325
117a440
1257399
1340c41
143056d
1524700
hex1c665

116325 has 36 divisors (see below), whose sum is σ = 232128. Its totient is φ = 55200.

The previous prime is 116293. The next prime is 116329. The reversal of 116325 is 523611.

116325 = T79 + T80 + ... + T105.

It is not a de Polignac number, because 116325 - 25 = 116293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116298 and 116307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2452 + ... + 2498.

It is an arithmetic number, because the mean of its divisors is an integer number (6448).

2116325 is an apocalyptic number.

116325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116325 is a deficient number, since it is larger than the sum of its proper divisors (115803).

116325 is a wasteful number, since it uses less digits than its factorization.

116325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 66 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 116325 is about 341.0645100271. The cubic root of 116325 is about 48.8154938261.

Adding to 116325 its reverse (523611), we get a palindrome (639936).

It can be divided in two parts, 116 and 325, that added together give a square (441 = 212).

The spelling of 116325 in words is "one hundred sixteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 47 55 75 99 141 165 225 235 275 423 495 517 705 825 1175 1551 2115 2475 2585 3525 4653 7755 10575 12925 23265 38775 116325