Search a number
-
+
20613024 = 2532193767
BaseRepresentation
bin100111010100…
…0011110100000
31102210020202100
41032220132200
520234104044
62013450400
7340131165
oct116503640
942706670
1020613024
11106a9963
126aa0a00
134369473
142a4806c
151c22869
hex13a87a0

20613024 has 72 divisors (see below), whose sum is σ = 61719840. Its totient is φ = 6507648.

The previous prime is 20612957. The next prime is 20613029. The reversal of 20613024 is 42031602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20612988 and 20613006.

It is not an unprimeable number, because it can be changed into a prime (20613029) 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 11 ways as a sum of consecutive naturals, for example, 3589 + ... + 7355.

It is an arithmetic number, because the mean of its divisors is an integer number (857220).

Almost surely, 220613024 is an apocalyptic number.

20613024 is a gapful number since it is divisible by the number (24) 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 20613024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30859920).

20613024 is an abundant number, since it is smaller than the sum of its proper divisors (41106816).

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

20613024 is a wasteful number, since it uses less digits than its factorization.

20613024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20613024 is about 4540.1568254852. The cubic root of 20613024 is about 274.1872377137.

Adding to 20613024 its reverse (42031602), we get a palindrome (62644626).

The spelling of 20613024 in words is "twenty million, six hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 3767 5472 7534 11301 15068 22602 30136 33903 45204 60272 67806 71573 90408 120544 135612 143146 180816 214719 271224 286292 361632 429438 542448 572584 644157 858876 1084896 1145168 1288314 1717752 2290336 2576628 3435504 5153256 6871008 10306512 20613024