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68967168 = 283891009
BaseRepresentation
bin1000001110001…
…01101100000000
311210202220011120
410013011230000
5120123422133
610502112240
71465132314
oct407055400
9153686146
1068967168
1135a26066
121b11b680
131139969a
149233b44
1560c4ab3
hex41c5b00

68967168 has 72 divisors (see below), whose sum is σ = 185799600. Its totient is φ = 22708224.

The previous prime is 68967161. The next prime is 68967203. The reversal of 68967168 is 86176986.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 68967168.

It is not an unprimeable number, because it can be changed into a prime (68967161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67848 + ... + 68856.

It is an arithmetic number, because the mean of its divisors is an integer number (2580550).

Almost surely, 268967168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92899800).

68967168 is an abundant number, since it is smaller than the sum of its proper divisors (116832432).

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

68967168 is a wasteful number, since it uses less digits than its factorization.

68967168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1103 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 68967168 is about 8304.6473736096. The cubic root of 68967168 is about 410.0915282471.

The spelling of 68967168 in words is "sixty-eight million, nine hundred sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 534 712 768 1009 1068 1424 2018 2136 2848 3027 4036 4272 5696 6054 8072 8544 11392 12108 16144 17088 22784 24216 32288 34176 48432 64576 68352 89801 96864 129152 179602 193728 258304 269403 359204 387456 538806 718408 774912 1077612 1436816 2155224 2873632 4310448 5747264 8620896 11494528 17241792 22989056 34483584 68967168