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204442040 = 235112292029
BaseRepresentation
bin11000010111110…
…00100110111000
3112020200201202102
430023320212320
5404314121130
632141522532
75031504635
oct1413704670
9466621672
10204442040
11a5447370
1258573448
133348112a
141d21b18c
1512e35645
hexc2f89b8

204442040 has 64 divisors (see below), whose sum is σ = 504252000. Its totient is φ = 73981440.

The previous prime is 204442013. The next prime is 204442097. The reversal of 204442040 is 40244402.

204442040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 99746 + ... + 101774.

Almost surely, 2204442040 is an apocalyptic number.

204442040 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 204442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252126000).

204442040 is an abundant number, since it is smaller than the sum of its proper divisors (299809960).

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

204442040 is a wasteful number, since it uses less digits than its factorization.

204442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 204442040 is about 14298.3229785874. The cubic root of 204442040 is about 589.1014186938.

Adding to 204442040 its reverse (40244402), we get a palindrome (244686442).

It can be divided in two parts, 204 and 442040, that added together give a palindrome (442244).

The spelling of 204442040 in words is "two hundred four million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 229 440 458 916 1145 1832 2029 2290 2519 4058 4580 5038 8116 9160 10076 10145 12595 16232 20152 20290 22319 25190 40580 44638 50380 81160 89276 100760 111595 178552 223190 446380 464641 892760 929282 1858564 2323205 3717128 4646410 5111051 9292820 10222102 18585640 20444204 25555255 40888408 51110510 102221020 204442040