Search a number
-
+
2392065 = 335132947
BaseRepresentation
bin1001001000000000000001
311111112022000
421020000001
51103021230
6123134213
726221644
oct11100001
94445260
102392065
111394215
12974369
13659a30
14463a5b
15323b60
hex248001

2392065 has 64 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 1112832.

The previous prime is 2392057. The next prime is 2392067. The reversal of 2392065 is 5602932.

It is not a de Polignac number, because 2392065 - 23 = 2392057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 212 + 313 + 96 + 218 + 0 + 62 + 52 .

It is not an unprimeable number, because it can be changed into a prime (2392067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50872 + ... + 50918.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

It is a Proth number, since it is equal to 73 ⋅ 215 + 1 and 73 < 215.

22392065 is an apocalyptic number.

It is an amenable number.

2392065 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2392065 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2392064) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (103).

2392065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2392065 is about 1546.6302079036. The cubic root of 2392065 is about 133.7388729207.

Adding to 2392065 its reverse (5602932), we get a palindrome (7994997).

It can be divided in two parts, 239 and 2065, that added together give a square (2304 = 482).

The spelling of 2392065 in words is "two million, three hundred ninety-two thousand, sixty-five".

Divisors: 1 3 5 9 13 15 27 29 39 45 47 65 87 117 135 141 145 195 235 261 351 377 423 435 585 611 705 783 1131 1269 1305 1363 1755 1833 1885 2115 3055 3393 3915 4089 5499 5655 6345 6815 9165 10179 12267 16497 16965 17719 20445 27495 36801 50895 53157 61335 82485 88595 159471 184005 265785 478413 797355 2392065