Search a number
-
+
204121020 = 22355364189
BaseRepresentation
bin11000010101010…
…10001110111100
3112020002102101210
430022222032330
5404223333040
632131004420
75026000005
oct1412521674
9466072353
10204121020
11a5248164
1258439710
133339ac8c
141d1761ac
1512dc0480
hexc2aa3bc

204121020 has 48 divisors (see below), whose sum is σ = 582331680. Its totient is φ = 53404416.

The previous prime is 204121007. The next prime is 204121033. The reversal of 204121020 is 20121402.

204121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204121007) and next prime (204121033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 204120987 and 204121005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28915 + ... + 35274.

It is an arithmetic number, because the mean of its divisors is an integer number (12131910).

Almost surely, 2204121020 is an apocalyptic number.

204121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204121020 is an abundant number, since it is smaller than the sum of its proper divisors (378210660).

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

204121020 is a wasteful number, since it uses less digits than its factorization.

204121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64254 (or 64252 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 204121020 is about 14287.0927763489. The cubic root of 204121020 is about 588.7929165753.

Adding to 204121020 its reverse (20121402), we get a palindrome (224242422).

The spelling of 204121020 in words is "two hundred four million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 64189 128378 192567 256756 320945 385134 641890 770268 962835 1283780 1925670 3402017 3851340 6804034 10206051 13608068 17010085 20412102 34020170 40824204 51030255 68040340 102060510 204121020