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204794064 = 243210114081
BaseRepresentation
bin11000011010011…
…10100011010000
3112021100121122100
430031032203100
5404411402224
632153240400
75034502146
oct1415164320
9467317570
10204794064
11a56678a2
1258703100
1333575427
141d2ad596
1512ea4ac9
hexc34e8d0

204794064 has 60 divisors (see below), whose sum is σ = 578854692. Its totient is φ = 67584000.

The previous prime is 204794059. The next prime is 204794069. The reversal of 204794064 is 460497402.

It is an interprime number because it is at equal distance from previous prime (204794059) and next prime (204794069).

It can be written as a sum of positive squares in 2 ways, for example, as 185504400 + 19289664 = 13620^2 + 4392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204794069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7504 + ... + 21584.

Almost surely, 2204794064 is an apocalyptic number.

204794064 is a gapful number since it is divisible by the number (24) 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 204794064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289427346).

204794064 is an abundant number, since it is smaller than the sum of its proper divisors (374060628).

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

204794064 is a wasteful number, since it uses less digits than its factorization.

204794064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14196 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 204794064 is about 14310.6276591909. The cubic root of 204794064 is about 589.4393448287.

The spelling of 204794064 in words is "two hundred four million, seven hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14081 14544 28162 42243 56324 84486 112648 126729 168972 225296 253458 337944 506916 675888 1013832 1422181 2027664 2844362 4266543 5688724 8533086 11377448 12799629 17066172 22754896 25599258 34132344 51198516 68264688 102397032 204794064