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17052930 = 234537569
BaseRepresentation
bin100000100001…
…1010100000010
31012002101020000
41001003110002
513331143210
61405300430
7264642666
oct101032402
935071200
1017052930
119698134
125864716
1336c0bbb
14239c8a6
15176cac0
hex1043502

17052930 has 80 divisors (see below), whose sum is σ = 47175480. Its totient is φ = 4416768.

The previous prime is 17052923. The next prime is 17052949. The reversal of 17052930 is 3925071.

It can be written as a sum of positive squares in 4 ways, for example, as 14220441 + 2832489 = 3771^2 + 1683^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 17052894 and 17052903.

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 39 ways as a sum of consecutive naturals, for example, 29686 + ... + 30254.

Almost surely, 217052930 is an apocalyptic number.

17052930 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 17052930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587740).

17052930 is an abundant number, since it is smaller than the sum of its proper divisors (30122550).

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

17052930 is a wasteful number, since it uses less digits than its factorization.

17052930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 17052930 is about 4129.5193424901. The cubic root of 17052930 is about 257.3947412817.

The spelling of 17052930 in words is "seventeen million, fifty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 569 666 810 999 1110 1138 1665 1707 1998 2845 2997 3330 3414 4995 5121 5690 5994 8535 9990 10242 14985 15363 17070 21053 25605 29970 30726 42106 46089 51210 63159 76815 92178 105265 126318 153630 189477 210530 230445 315795 378954 460890 568431 631590 947385 1136862 1705293 1894770 2842155 3410586 5684310 8526465 17052930