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30122560 = 265132557
BaseRepresentation
bin111001011101…
…0001001000000
32002200101101101
41302322021000
530202410220
62553344144
7514015606
oct162721100
962611341
1030122560
1116004586
12a108054
136318a00
144001876
1529a030a
hex1cba240

30122560 has 84 divisors (see below), whose sum is σ = 77810868. Its totient is φ = 11102208.

The previous prime is 30122507. The next prime is 30122569. The reversal of 30122560 is 6522103.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12616704 + 17505856 = 3552^2 + 4184^2 .

It is not an unprimeable number, because it can be changed into a prime (30122569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53802 + ... + 54358.

Almost surely, 230122560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38905434).

30122560 is an abundant number, since it is smaller than the sum of its proper divisors (47688308).

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

30122560 is a wasteful number, since it uses less digits than its factorization.

30122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 30122560 is about 5488.4023176148. The cubic root of 30122560 is about 311.1458117001.

Adding to 30122560 its reverse (6522103), we get a palindrome (36644663).

The spelling of 30122560 in words is "thirty million, one hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 520 557 676 832 845 1040 1114 1352 1690 2080 2228 2704 2785 3380 4160 4456 5408 5570 6760 7241 8912 10816 11140 13520 14482 17824 22280 27040 28964 35648 36205 44560 54080 57928 72410 89120 94133 115856 144820 178240 188266 231712 289640 376532 463424 470665 579280 753064 941330 1158560 1506128 1882660 2317120 3012256 3765320 6024512 7530640 15061280 30122560