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17068272 = 24313171609
BaseRepresentation
bin100000100011…
…1000011110000
31012010011021020
41001013003300
513332141042
61405455440
7265035504
oct101070360
935104236
1017068272
1196a8711
125871580
1336c7b90
1423a4304
1517723ec
hex10470f0

17068272 has 80 divisors (see below), whose sum is σ = 50309280. Its totient is φ = 4939776.

The previous prime is 17068267. The next prime is 17068273. The reversal of 17068272 is 27286071.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17068273) 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, 9804 + ... + 11412.

It is an arithmetic number, because the mean of its divisors is an integer number (628866).

Almost surely, 217068272 is an apocalyptic number.

17068272 is a gapful number since it is divisible by the number (12) 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 17068272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25154640).

17068272 is an abundant number, since it is smaller than the sum of its proper divisors (33241008).

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

17068272 is a wasteful number, since it uses less digits than its factorization.

17068272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 17068272 is about 4131.3765260504. The cubic root of 17068272 is about 257.4719082058.

The spelling of 17068272 in words is "seventeen million, sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1609 1768 2652 3218 3536 4827 5304 6436 9654 10608 12872 19308 20917 25744 27353 38616 41834 54706 62751 77232 82059 83668 109412 125502 164118 167336 218824 251004 328236 334672 355589 437648 502008 656472 711178 1004016 1066767 1312944 1422356 2133534 2844712 4267068 5689424 8534136 17068272