Search a number
-
+
204576320 = 2651349177
BaseRepresentation
bin11000011000110…
…01011001000000
3112020221112221202
430030121121000
5404332420240
632144440332
75032604264
oct1414313100
9466845852
10204576320
11a5529243
12586190a8
13334ca2a0
141d2540a4
1512e60315
hexc319640

204576320 has 56 divisors (see below), whose sum is σ = 524630904. Its totient is φ = 75534336.

The previous prime is 204576319. The next prime is 204576341. The reversal of 204576320 is 23675402.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 204375616 = 448^2 + 14296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20429 + ... + 28748.

It is an arithmetic number, because the mean of its divisors is an integer number (9368409).

Almost surely, 2204576320 is an apocalyptic number.

204576320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204576320 is an abundant number, since it is smaller than the sum of its proper divisors (320054584).

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

204576320 is a wasteful number, since it uses less digits than its factorization.

204576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49207 (or 49197 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 204576320 is about 14303.0178633741. The cubic root of 204576320 is about 589.2303667743.

The spelling of 204576320 in words is "two hundred four million, five hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 49177 98354 196708 245885 393416 491770 639301 786832 983540 1278602 1573664 1967080 2557204 3147328 3196505 3934160 5114408 6393010 7868320 10228816 12786020 15736640 20457632 25572040 40915264 51144080 102288160 204576320