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204410142 = 237172749
BaseRepresentation
bin11000010111100…
…00110100011110
3112020122010000000
430023300310132
5404312111032
632141115130
75031312636
oct1413606436
9466563000
10204410142
11a5425402
1258558aa6
133346c761
141d20d6c6
1512e2ae7c
hexc2f0d1e

204410142 has 64 divisors (see below), whose sum is σ = 487080000. Its totient is φ = 64105344.

The previous prime is 204410123. The next prime is 204410149. The reversal of 204410142 is 241014402.

204410142 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204410149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72984 + ... + 75732.

It is an arithmetic number, because the mean of its divisors is an integer number (7610625).

Almost surely, 2204410142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204410142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243540000).

204410142 is an abundant number, since it is smaller than the sum of its proper divisors (282669858).

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

204410142 is an equidigital number, since it uses as much as digits as its factorization.

204410142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204410142 is about 14297.2074895764. The cubic root of 204410142 is about 589.0707789838.

Adding to 204410142 its reverse (241014402), we get a palindrome (445424544).

The spelling of 204410142 in words is "two hundred four million, four hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2187 2749 2754 4131 4374 5498 8247 8262 12393 16494 24741 24786 37179 46733 49482 74223 74358 93466 140199 148446 222669 280398 420597 445338 668007 841194 1261791 1336014 2004021 2523582 3785373 4008042 6012063 7570746 11356119 12024126 22712238 34068357 68136714 102205071 204410142