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17068000 = 255317251
BaseRepresentation
bin100000100011…
…0111111100000
31012010010220011
41001012333200
513332134000
61405454304
7265034635
oct101067740
935103804
1017068000
1196a8494
125871394
1336c7a11
1423a418c
1517722ba
hex1046fe0

17068000 has 96 divisors (see below), whose sum is σ = 44579808. Its totient is φ = 6400000.

The previous prime is 17067971. The next prime is 17068019. The reversal of 17068000 is 86071.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67875 + ... + 68125.

It is an arithmetic number, because the mean of its divisors is an integer number (464373).

Almost surely, 217068000 is an apocalyptic number.

17068000 is a gapful number since it is divisible by the number (10) 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 17068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289904).

17068000 is an abundant number, since it is smaller than the sum of its proper divisors (27511808).

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

17068000 is a wasteful number, since it uses less digits than its factorization.

17068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 17068000 is about 4131.3436071090. The cubic root of 17068000 is about 257.4705405076.

It can be divided in two parts, 170 and 68000, that multiplied together give a square (11560000 = 34002).

The spelling of 17068000 in words is "seventeen million, sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 251 272 340 400 425 500 502 544 680 800 850 1000 1004 1255 1360 1700 2000 2008 2125 2510 2720 3400 4000 4016 4250 4267 5020 6275 6800 8032 8500 8534 10040 12550 13600 17000 17068 20080 21335 25100 31375 34000 34136 40160 42670 50200 62750 68000 68272 85340 100400 106675 125500 136544 170680 200800 213350 251000 341360 426700 502000 533375 682720 853400 1004000 1066750 1706800 2133500 3413600 4267000 8534000 17068000