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17133930 = 235511641
BaseRepresentation
bin100000101011…
…1000101101010
31012020111100000
41001113011222
513341241210
61411123430
7265431102
oct101270552
935214300
1017133930
119742a80
1258a3576
13371ba28
1423c0202
151786ac0
hex105716a

17133930 has 96 divisors (see below), whose sum is σ = 50476608. Its totient is φ = 4147200.

The previous prime is 17133929. The next prime is 17133931. The reversal of 17133930 is 3933171.

It is an interprime number because it is at equal distance from previous prime (17133929) and next prime (17133931).

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

It is a junction number, because it is equal to n+sod(n) for n = 17133894 and 17133903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17133931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26410 + ... + 27050.

It is an arithmetic number, because the mean of its divisors is an integer number (525798).

Almost surely, 217133930 is an apocalyptic number.

17133930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17133930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25238304).

17133930 is an abundant number, since it is smaller than the sum of its proper divisors (33342678).

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

17133930 is a wasteful number, since it uses less digits than its factorization.

17133930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 662 counting only the distinct ones).

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

The square root of 17133930 is about 4139.3151607482. The cubic root of 17133930 is about 257.8016322692.

The spelling of 17133930 in words is "seventeen million, one hundred thirty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 641 810 891 990 1215 1282 1485 1782 1923 2430 2673 2970 3205 3846 4455 5346 5769 6410 7051 8910 9615 11538 13365 14102 17307 19230 21153 26730 28845 34614 35255 42306 51921 57690 63459 70510 86535 103842 105765 126918 155763 173070 190377 211530 259605 311526 317295 380754 519210 571131 634590 778815 951885 1142262 1557630 1713393 1903770 2855655 3426786 5711310 8566965 17133930