Search a number
-
+
23903685 = 32513291409
BaseRepresentation
bin101101100101…
…1110111000101
31122222102200200
41123023313011
522104404220
62212201113
7410115021
oct133136705
948872620
1023903685
1112547213
128009199
134c4c1c0
143263381
152172890
hex16cbdc5

23903685 has 48 divisors (see below), whose sum is σ = 46191600. Its totient is φ = 11354112.

The previous prime is 23903669. The next prime is 23903687. The reversal of 23903685 is 58630932.

It can be written as a sum of positive squares in 8 ways, for example, as 7403841 + 16499844 = 2721^2 + 4062^2 .

It is not a de Polignac number, because 23903685 - 24 = 23903669 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23903687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16261 + ... + 17669.

It is an arithmetic number, because the mean of its divisors is an integer number (962325).

Almost surely, 223903685 is an apocalyptic number.

It is an amenable number.

23903685 is a deficient number, since it is larger than the sum of its proper divisors (22287915).

23903685 is a wasteful number, since it uses less digits than its factorization.

23903685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1459 counting only the distinct ones).

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

The square root of 23903685 is about 4889.1394948396. The cubic root of 23903685 is about 288.0635348832.

It can be divided in two parts, 239036 and 85, that added together give a square (239121 = 4892).

The spelling of 23903685 in words is "twenty-three million, nine hundred three thousand, six hundred eighty-five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1131 1305 1409 1885 3393 4227 5655 7045 12681 16965 18317 21135 40861 54951 63405 91585 122583 164853 204305 274755 367749 531193 612915 824265 1593579 1838745 2655965 4780737 7967895 23903685