Search a number
-
+
20054600 = 2352197509
BaseRepresentation
bin100110010000…
…0001001001000
31101201212201222
41030200021020
520113221400
61553501212
7332314136
oct114401110
941655658
1020054600
1110358355
126871808
134202237
142940756
151b62185
hex1320248

20054600 has 48 divisors (see below), whose sum is σ = 46955700. Its totient is φ = 7965440.

The previous prime is 20054599. The next prime is 20054603. The reversal of 20054600 is 645002.

It can be written as a sum of positive squares in 6 ways, for example, as 16467364 + 3587236 = 4058^2 + 1894^2 .

It is not an unprimeable number, because it can be changed into a prime (20054603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39146 + ... + 39654.

Almost surely, 220054600 is an apocalyptic number.

20054600 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 20054600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23477850).

20054600 is an abundant number, since it is smaller than the sum of its proper divisors (26901100).

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

20054600 is a wasteful number, since it uses less digits than its factorization.

20054600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 20054600 is about 4478.2362599577. The cubic root of 20054600 is about 271.6885492220.

Adding to 20054600 its reverse (645002), we get a palindrome (20699602).

The spelling of 20054600 in words is "twenty million, fifty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 394 509 788 985 1018 1576 1970 2036 2545 3940 4072 4925 5090 7880 9850 10180 12725 19700 20360 25450 39400 50900 100273 101800 200546 401092 501365 802184 1002730 2005460 2506825 4010920 5013650 10027300 20054600