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17133390 = 2335233189
BaseRepresentation
bin100000101011…
…0111101001110
31012020110121000
41001112331032
513341232030
61411121130
7265426401
oct101267516
935213530
1017133390
11974262a
1258a31a6
13371b701
1423bdd38
151786860
hex1056f4e

17133390 has 128 divisors (see below), whose sum is σ = 49766400. Its totient is φ = 4181760.

The previous prime is 17133373. The next prime is 17133397. The reversal of 17133390 is 9333171.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17133397) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 192466 + ... + 192554.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 217133390 is an apocalyptic number.

17133390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17133390 is the 2070-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17133390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883200).

17133390 is an abundant number, since it is smaller than the sum of its proper divisors (32633010).

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

17133390 is a wasteful number, since it uses less digits than its factorization.

17133390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 17133390 is about 4139.2499320529. The cubic root of 17133390 is about 257.7989239132.

The spelling of 17133390 in words is "seventeen million, one hundred thirty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 31 45 46 54 62 69 89 90 93 115 135 138 155 178 186 207 230 267 270 279 310 345 414 445 465 534 558 621 690 713 801 837 890 930 1035 1242 1335 1395 1426 1602 1674 2047 2070 2139 2403 2670 2759 2790 3105 3565 4005 4094 4185 4278 4806 5518 6141 6210 6417 7130 8010 8277 8370 10235 10695 12015 12282 12834 13795 16554 18423 19251 20470 21390 24030 24831 27590 30705 32085 36846 38502 41385 49662 55269 61410 63457 64170 74493 82770 92115 96255 110538 124155 126914 148986 184230 190371 192510 248310 276345 317285 372465 380742 552690 571113 634570 744930 951855 1142226 1713339 1903710 2855565 3426678 5711130 8566695 17133390