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17142912 = 273223647
BaseRepresentation
bin100000101100…
…1010010000000
31012020221122200
41001121102000
513342033122
61411233200
7265466223
oct101312200
935227580
1017142912
1197497a6
1258a8800
133722b47
1423c35ba
1517895ac
hex1059480

17142912 has 96 divisors (see below), whose sum is σ = 51554880. Its totient is φ = 5457408.

The previous prime is 17142901. The next prime is 17142929. The reversal of 17142912 is 21924171.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26173 + ... + 26819.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 217142912 is an apocalyptic number.

17142912 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 17142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25777440).

17142912 is an abundant number, since it is smaller than the sum of its proper divisors (34411968).

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

17142912 is a wasteful number, since it uses less digits than its factorization.

17142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 675 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 17142912 is about 4140.3999806782. The cubic root of 17142912 is about 257.8466729137.

The spelling of 17142912 in words is "seventeen million, one hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 647 736 828 1104 1152 1294 1472 1656 1941 2208 2588 2944 3312 3882 4416 5176 5823 6624 7764 8832 10352 11646 13248 14881 15528 20704 23292 26496 29762 31056 41408 44643 46584 59524 62112 82816 89286 93168 119048 124224 133929 178572 186336 238096 248448 267858 357144 372672 476192 535716 714288 745344 952384 1071432 1428576 1904768 2142864 2857152 4285728 5714304 8571456 17142912