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204640512 = 283416797
BaseRepresentation
bin11000011001010…
…01000100000000
3112021001211000020
430030221010000
5404341444022
632150053440
75033262366
oct1414510400
9467054006
10204640512
11a557249a
125864a280
133352057b
141d26d636
1512e7435c
hexc329100

204640512 has 144 divisors (see below), whose sum is σ = 572091072. Its totient is φ = 64880640.

The previous prime is 204640511. The next prime is 204640523. The reversal of 204640512 is 215046402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (204640511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2109648 + ... + 2109744.

Almost surely, 2204640512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286045536).

204640512 is an abundant number, since it is smaller than the sum of its proper divisors (367450560).

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

204640512 is an equidigital number, since it uses as much as digits as its factorization.

204640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 204640512 is about 14305.2616893226. The cubic root of 204640512 is about 589.2919899382.

Adding to 204640512 its reverse (215046402), we get a palindrome (419686914).

The spelling of 204640512 in words is "two hundred four million, six hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 67 82 96 97 123 128 134 164 192 194 201 246 256 268 291 328 384 388 402 492 536 582 656 768 776 804 984 1072 1164 1312 1552 1608 1968 2144 2328 2624 2747 3104 3216 3936 3977 4288 4656 5248 5494 6208 6432 6499 7872 7954 8241 8576 9312 10496 10988 11931 12416 12864 12998 15744 15908 16482 17152 18624 19497 21976 23862 24832 25728 25996 31488 31816 32964 37248 38994 43952 47724 51456 51992 63632 65928 74496 77988 87904 95448 103984 127264 131856 155976 175808 190896 207968 254528 263712 266459 311952 351616 381792 415936 509056 527424 532918 623904 703232 763584 799377 831872 1018112 1054848 1065836 1247808 1527168 1598754 1663744 2109696 2131672 2495616 3054336 3197508 4263344 4991232 6395016 8526688 12790032 17053376 25580064 34106752 51160128 68213504 102320256 204640512