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204742830 = 235371391327
BaseRepresentation
bin11000011010000…
…10000010101110
3112021021000100210
430031002002232
5404403232310
632152203250
75034166605
oct1415020256
9467230323
10204742830
11a5632356
1258699526
1333558006
141d298a3c
1512e94820
hexc3420ae

204742830 has 64 divisors (see below), whose sum is σ = 508677120. Its totient is φ = 52700544.

The previous prime is 204742819. The next prime is 204742831. The reversal of 204742830 is 38247402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204742831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153627 + ... + 154953.

It is an arithmetic number, because the mean of its divisors is an integer number (7948080).

Almost surely, 2204742830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204742830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254338560).

204742830 is an abundant number, since it is smaller than the sum of its proper divisors (303934290).

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

204742830 is a wasteful number, since it uses less digits than its factorization.

204742830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513.

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 204742830 is about 14308.8374789848. The cubic root of 204742830 is about 589.3901867404.

The spelling of 204742830 in words is "two hundred four million, seven hundred forty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 139 185 222 278 370 417 555 695 834 1110 1327 1390 2085 2654 3981 4170 5143 6635 7962 10286 13270 15429 19905 25715 30858 39810 49099 51430 77145 98198 147297 154290 184453 245495 294594 368906 490990 553359 736485 922265 1106718 1472970 1844530 2766795 5533590 6824761 13649522 20474283 34123805 40948566 68247610 102371415 204742830