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23685930 = 232517113137
BaseRepresentation
bin101101001011…
…0101100101010
31122120100222200
41122112230222
522030422210
62203401030
7405220122
oct132265452
948510880
1023685930
1112408654
127b23176
134ba4058
143207c82
15212d0c0
hex1696b2a

23685930 has 96 divisors (see below), whose sum is σ = 66263184. Its totient is φ = 5849088.

The previous prime is 23685919. The next prime is 23685931. The reversal of 23685930 is 3958632.

23685930 is a `hidden beast` number, since 2 + 3 + 68 + 593 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7112889 + 16573041 = 2667^2 + 4071^2 .

It is a super-2 number, since 2×236859302 = 1122046559929800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23685931) 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 47 ways as a sum of consecutive naturals, for example, 172822 + ... + 172958.

Almost surely, 223685930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23685930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33131592).

23685930 is an abundant number, since it is smaller than the sum of its proper divisors (42577254).

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

23685930 is a wasteful number, since it uses less digits than its factorization.

23685930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 23685930 is about 4866.8192898442. The cubic root of 23685930 is about 287.1861426859.

The spelling of 23685930 in words is "twenty-three million, six hundred eighty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 113 137 153 170 226 255 274 306 339 411 510 565 678 685 765 822 1017 1130 1233 1370 1530 1695 1921 2034 2055 2329 2466 3390 3842 4110 4658 5085 5763 6165 6987 9605 10170 11526 11645 12330 13974 15481 17289 19210 20961 23290 28815 30962 34578 34935 41922 46443 57630 69870 77405 86445 92886 104805 139329 154810 172890 209610 232215 263177 278658 464430 526354 696645 789531 1315885 1393290 1579062 2368593 2631770 3947655 4737186 7895310 11842965 23685930