Search a number
-
+
20524400 = 2452133947
BaseRepresentation
bin100111001001…
…0110101110000
31102121202011222
41032102311300
520223240100
62011524212
7336311621
oct116226560
942552158
1020524400
1110649316
126a59668
134338020
142a23a48
151c06485
hex1392d70

20524400 has 60 divisors (see below), whose sum is σ = 53116392. Its totient is φ = 7576320.

The previous prime is 20524367. The next prime is 20524403. The reversal of 20524400 is 442502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20524403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3227 + ... + 7173.

Almost surely, 220524400 is an apocalyptic number.

20524400 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 20524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26558196).

20524400 is an abundant number, since it is smaller than the sum of its proper divisors (32591992).

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

20524400 is a wasteful number, since it uses less digits than its factorization.

20524400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 20524400 is about 4530.3862969950. The cubic root of 20524400 is about 273.7937247283.

Adding to 20524400 its reverse (442502), we get a palindrome (20966902).

The spelling of 20524400 in words is "twenty million, five hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 3947 5200 7894 15788 19735 31576 39470 51311 63152 78940 98675 102622 157880 197350 205244 256555 315760 394700 410488 513110 789400 820976 1026220 1282775 1578800 2052440 2565550 4104880 5131100 10262200 20524400