Search a number
-
+
20049768 = 233430941
BaseRepresentation
bin100110001111…
…0111101101000
31101201122010000
41030132331220
520113043033
61553423000
7332264064
oct114367550
941648100
1020049768
1110354762
12686aa60
1341ccc8b
14293caa4
151b60a13
hex131ef68

20049768 has 40 divisors (see below), whose sum is σ = 56159730. Its totient is φ = 6683040.

The previous prime is 20049763. The next prime is 20049773. The reversal of 20049768 is 86794002.

It is an interprime number because it is at equal distance from previous prime (20049763) and next prime (20049773).

It can be written as a sum of positive squares in only one way, i.e., 18507204 + 1542564 = 4302^2 + 1242^2 .

It is a super-3 number, since 3×200497683 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20049763) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14823 + ... + 16118.

Almost surely, 220049768 is an apocalyptic number.

It is an amenable number.

20049768 is an abundant number, since it is smaller than the sum of its proper divisors (36109962).

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

20049768 is a wasteful number, since it uses less digits than its factorization.

20049768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30959 (or 30946 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20049768 is about 4477.6967293465. The cubic root of 20049768 is about 271.6667270545. Note that the first 3 decimals are identical.

The spelling of 20049768 in words is "twenty million, forty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 30941 61882 92823 123764 185646 247528 278469 371292 556938 742584 835407 1113876 1670814 2227752 2506221 3341628 5012442 6683256 10024884 20049768