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68317872 = 24371271601
BaseRepresentation
bin1000001001001…
…11001010110000
311202112220111120
410010213022300
5114442132442
610440142240
71456456320
oct404471260
9152486446
1068317872
1135622257
121aa67980
13111ccc9c
149105280
155ee74ec
hex41272b0

68317872 has 80 divisors (see below), whose sum is σ = 203415552. Its totient is φ = 19353600.

The previous prime is 68317867. The next prime is 68317877. The reversal of 68317872 is 27871386.

It is an interprime number because it is at equal distance from previous prime (68317867) and next prime (68317877).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (68317877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41872 + ... + 43472.

Almost surely, 268317872 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 68317872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101707776).

68317872 is an abundant number, since it is smaller than the sum of its proper divisors (135097680).

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

68317872 is a wasteful number, since it uses less digits than its factorization.

68317872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1740 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 68317872 is about 8265.4626004840. The cubic root of 68317872 is about 408.8005236391.

The spelling of 68317872 in words is "sixty-eight million, three hundred seventeen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1601 1778 2032 2667 3048 3202 3556 4803 5334 6096 6404 7112 9606 10668 11207 12808 14224 19212 21336 22414 25616 33621 38424 42672 44828 67242 76848 89656 134484 179312 203327 268968 406654 537936 609981 813308 1219962 1423289 1626616 2439924 2846578 3253232 4269867 4879848 5693156 8539734 9759696 11386312 17079468 22772624 34158936 68317872