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35016930 = 2325131732
BaseRepresentation
bin1000010110010…
…1000011100010
32102220001012100
42011211003202
532431020210
63250311230
7603432114
oct205450342
972801170
1035016930
1118847813
12b888516
1373406a0
1449173b4
15311a5c0
hex21650e2

35016930 has 72 divisors (see below), whose sum is σ = 98617428. Its totient is φ = 8569728.

The previous prime is 35016929. The next prime is 35016959. The reversal of 35016930 is 3961053.

It can be written as a sum of positive squares in 6 ways, for example, as 24770529 + 10246401 = 4977^2 + 3201^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35016894 and 35016903.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202324 + ... + 202496.

Almost surely, 235016930 is an apocalyptic number.

35016930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35016930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49308714).

35016930 is an abundant number, since it is smaller than the sum of its proper divisors (63600498).

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

35016930 is a wasteful number, since it uses less digits than its factorization.

35016930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 35016930 is about 5917.5104562645. The cubic root of 35016930 is about 327.1593645672.

Adding to 35016930 its reverse (3961053), we get a palindrome (38977983).

The spelling of 35016930 in words is "thirty-five million, sixteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 173 195 234 346 390 519 585 865 1038 1170 1557 1730 2249 2595 3114 4498 5190 6747 7785 11245 13494 15570 20241 22490 29929 33735 40482 59858 67470 89787 101205 149645 179574 202410 269361 299290 389077 448935 538722 778154 897870 1167231 1346805 1945385 2334462 2693610 3501693 3890770 5836155 7003386 11672310 17508465 35016930