Search a number
-
+
20652960 = 2535172531
BaseRepresentation
bin100111011001…
…0001110100000
31102212021112110
41032302032200
520241343320
62014355320
7340355466
oct116621640
942767473
1020652960
1110726969
126abbb40
1343816b3
142a58836
151c2e5e0
hex13b23a0

20652960 has 96 divisors (see below), whose sum is σ = 68910912. Its totient is φ = 5181440.

The previous prime is 20652923. The next prime is 20652967. The reversal of 20652960 is 6925602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20652967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6895 + ... + 9425.

It is an arithmetic number, because the mean of its divisors is an integer number (717822).

Almost surely, 220652960 is an apocalyptic number.

20652960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34455456).

20652960 is an abundant number, since it is smaller than the sum of its proper divisors (48257952).

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

20652960 is a wasteful number, since it uses less digits than its factorization.

20652960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 20652960 is about 4544.5527832780. The cubic root of 20652960 is about 274.3641950523.

It can be divided in two parts, 20652 and 960, that added together give a palindrome (21612).

The spelling of 20652960 in words is "twenty million, six hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2531 2720 4080 5062 7593 8160 10124 12655 15186 20248 25310 30372 37965 40496 43027 50620 60744 75930 80992 86054 101240 121488 129081 151860 172108 202480 215135 242976 258162 303720 344216 404960 430270 516324 607440 645405 688432 860540 1032648 1214880 1290810 1376864 1721080 2065296 2581620 3442160 4130592 5163240 6884320 10326480 20652960