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129168 = 24331323
BaseRepresentation
bin11111100010010000
320120012000
4133202100
513113133
62434000
71045404
oct374220
9216160
10129168
1189056
1262900
1346a40
1435104
1528413
hex1f890

129168 has 80 divisors (see below), whose sum is σ = 416640. Its totient is φ = 38016.

The previous prime is 129127. The next prime is 129169. The reversal of 129168 is 861921.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (129169) by changing a digit.

129168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5605 + ... + 5627.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2129168 is an apocalyptic number.

129168 is a gapful number since it is divisible by the number (18) 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 129168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

129168 is an abundant number, since it is smaller than the sum of its proper divisors (287472).

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

129168 is a wasteful number, since it uses less digits than its factorization.

129168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 129168 is about 359.3994991649. The cubic root of 129168 is about 50.5496684813.

It can be divided in two parts, 12 and 9168, that added together give a triangular number (9180 = T135).

The spelling of 129168 in words is "one hundred twenty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 36 39 46 48 52 54 69 72 78 92 104 108 117 138 144 156 184 207 208 216 234 276 299 312 351 368 414 432 468 552 598 621 624 702 828 897 936 1104 1196 1242 1404 1656 1794 1872 2392 2484 2691 2808 3312 3588 4784 4968 5382 5616 7176 8073 9936 10764 14352 16146 21528 32292 43056 64584 129168