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116424 = 23337211
BaseRepresentation
bin11100011011001000
312220201000
4130123020
512211144
62255000
7663300
oct343310
9186630
10116424
117a520
1257460
1340cb9
1430600
1524769
hex1c6c8

116424 has 96 divisors (see below), whose sum is σ = 410400. Its totient is φ = 30240.

The previous prime is 116423. The next prime is 116437. The reversal of 116424 is 424611.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 zygodrome in base 6 and base 7.

It is a junction number, because it is equal to n+sod(n) for n = 116397 and 116406.

It is not an unprimeable number, because it can be changed into a prime (116423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10579 + ... + 10589.

It is an arithmetic number, because the mean of its divisors is an integer number (4275).

2116424 is an apocalyptic number.

116424 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 116424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205200).

116424 is an abundant number, since it is smaller than the sum of its proper divisors (293976).

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

116424 is a wasteful number, since it uses less digits than its factorization.

116424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 116424 is about 341.2096129947. The cubic root of 116424 is about 48.8293382664.

The spelling of 116424 in words is "one hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 49 54 56 63 66 72 77 84 88 98 99 108 126 132 147 154 168 189 196 198 216 231 252 264 294 297 308 378 392 396 441 462 504 539 588 594 616 693 756 792 882 924 1078 1176 1188 1323 1386 1512 1617 1764 1848 2079 2156 2376 2646 2772 3234 3528 4158 4312 4851 5292 5544 6468 8316 9702 10584 12936 14553 16632 19404 29106 38808 58212 116424