Search a number
-
+
20470400 = 27526397
BaseRepresentation
bin100111000010…
…1101010000000
31102112000002222
41032011222000
520220023100
62010430212
7335665316
oct116055200
942460088
1020470400
1110611795
126a32368
134319582
142a0c0b6
151be5485
hex1385a80

20470400 has 48 divisors (see below), whose sum is σ = 50576190. Its totient is φ = 8186880.

The previous prime is 20470399. The next prime is 20470409. The reversal of 20470400 is 407402.

It can be written as a sum of positive squares in 3 ways, for example, as 8248384 + 12222016 = 2872^2 + 3496^2 .

It is not an unprimeable number, because it can be changed into a prime (20470409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2 + ... + 6398.

Almost surely, 220470400 is an apocalyptic number.

20470400 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 20470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25288095).

20470400 is an abundant number, since it is smaller than the sum of its proper divisors (30105790).

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

20470400 is an equidigital number, since it uses as much as digits as its factorization.

20470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 20470400 is about 4524.4226150969. The cubic root of 20470400 is about 273.5533953883.

Adding to 20470400 its reverse (407402), we get a palindrome (20877802).

The spelling of 20470400 in words is "twenty million, four hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 6397 12794 25588 31985 51176 63970 102352 127940 159925 204704 255880 319850 409408 511760 639700 818816 1023520 1279400 2047040 2558800 4094080 5117600 10235200 20470400