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17290140 = 2235725881
BaseRepresentation
bin100000111110…
…1001110011100
31012112102121120
41001331032130
513411241030
61414330540
7266651400
oct101751634
935472546
1017290140
11983a37a
125959a50
133774b6a
142421100
1517b8010
hex107d39c

17290140 has 72 divisors (see below), whose sum is σ = 56326032. Its totient is φ = 3951360.

The previous prime is 17290111. The next prime is 17290159. The reversal of 17290140 is 4109271.

17290140 is a nontrivial binomial coefficient, being equal to C(5881, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 17290140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1 + ... + 5880.

It is an arithmetic number, because the mean of its divisors is an integer number (782306).

Almost surely, 217290140 is an apocalyptic number.

17290140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17290140 is the 5880-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17290140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28163016).

17290140 is an abundant number, since it is smaller than the sum of its proper divisors (39035892).

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

17290140 is a wasteful number, since it uses less digits than its factorization.

17290140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 17290140 is about 4158.1414117367. The cubic root of 17290140 is about 258.5827222854.

The spelling of 17290140 in words is "seventeen million, two hundred ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 5881 11762 17643 23524 29405 35286 41167 58810 70572 82334 88215 117620 123501 164668 176430 205835 247002 288169 352860 411670 494004 576338 617505 823340 864507 1152676 1235010 1440845 1729014 2470020 2881690 3458028 4322535 5763380 8645070 17290140