Search a number
-
+
204653064 = 233711591877
BaseRepresentation
bin11000011001011…
…00001000001000
3112021002110020010
430030230020020
5404342344224
632150231520
75033344110
oct1414541010
9467073203
10204653064
11a5580970
12586555a0
13335261b5
141d274040
1512e77e29
hexc32c208

204653064 has 128 divisors (see below), whose sum is σ = 649036800. Its totient is φ = 52227840.

The previous prime is 204653051. The next prime is 204653077. The reversal of 204653064 is 460356402.

It is an interprime number because it is at equal distance from previous prime (204653051) and next prime (204653077).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108094 + ... + 109970.

It is an arithmetic number, because the mean of its divisors is an integer number (5070600).

Almost surely, 2204653064 is an apocalyptic number.

204653064 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 204653064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324518400).

204653064 is an abundant number, since it is smaller than the sum of its proper divisors (444383736).

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

204653064 is a wasteful number, since it uses less digits than its factorization.

204653064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 204653064 is about 14305.7004022872. The cubic root of 204653064 is about 589.3040381257.

The spelling of 204653064 in words is "two hundred four million, six hundred fifty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 59 66 77 84 88 118 132 154 168 177 231 236 264 308 354 413 462 472 616 649 708 826 924 1239 1298 1416 1652 1848 1877 1947 2478 2596 3304 3754 3894 4543 4956 5192 5631 7508 7788 9086 9912 11262 13139 13629 15016 15576 18172 20647 22524 26278 27258 36344 39417 41294 45048 52556 54516 61941 78834 82588 105112 109032 110743 123882 144529 157668 165176 221486 247764 289058 315336 332229 433587 442972 495528 578116 664458 775201 867174 885944 1156232 1218173 1328916 1550402 1734348 2325603 2436346 2657832 3100804 3468696 3654519 4651206 4872692 6201608 7309038 8527211 9302412 9745384 14618076 17054422 18604824 25581633 29236152 34108844 51163266 68217688 102326532 204653064