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17339140 = 22572131361
BaseRepresentation
bin100001000100…
…1001100000100
31012121220211101
41002021030010
513414323030
61415345444
7300244300
oct102111404
935556741
1017339140
119873175
125982284
133791260
142434d00
1517c77ca
hex1089304

17339140 has 72 divisors (see below), whose sum is σ = 45648792. Its totient is φ = 5483520.

The previous prime is 17339117. The next prime is 17339141. The reversal of 17339140 is 4193371.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 17288964 = 224^2 + 4158^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 17339099 and 17339108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17339141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12060 + ... + 13420.

It is an arithmetic number, because the mean of its divisors is an integer number (634011).

Almost surely, 217339140 is an apocalyptic number.

17339140 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 17339140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22824396).

17339140 is an abundant number, since it is smaller than the sum of its proper divisors (28309652).

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

17339140 is a wasteful number, since it uses less digits than its factorization.

17339140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 17339140 is about 4164.0292986481. The cubic root of 17339140 is about 258.8267650908.

The spelling of 17339140 in words is "seventeen million, three hundred thirty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1361 1820 2548 2722 3185 5444 6370 6805 9527 12740 13610 17693 19054 27220 35386 38108 47635 66689 70772 88465 95270 123851 133378 176930 190540 247702 266756 333445 353860 495404 619255 666890 866957 1238510 1333780 1733914 2477020 3467828 4334785 8669570 17339140