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2365064 = 231322741
BaseRepresentation
bin1001000001011010001000
311110011020222
421001122020
51101140224
6122405212
726050142
oct11013210
94404228
102365064
1113759a9
12960808
1364a660
14457c92
1531ab5e
hex241688

2365064 has 16 divisors (see below), whose sum is σ = 4775820. Its totient is φ = 1091520.

The previous prime is 2365061. The next prime is 2365073. The reversal of 2365064 is 4605632.

2365064 = 2272 + 2282 + ... + 2652.

It can be written as a sum of positive squares in 2 ways, for example, as 1932100 + 432964 = 1390^2 + 658^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 27 + 39 + 66 + 59 + 0 + 67 + 48 .

It is not an unprimeable number, because it can be changed into a prime (2365061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11267 + ... + 11474.

22365064 is an apocalyptic number.

It is an amenable number.

2365064 is an abundant number, since it is smaller than the sum of its proper divisors (2410756).

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

2365064 is a wasteful number, since it uses less digits than its factorization.

2365064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22760 (or 22756 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2365064 is about 1537.8764579770. The cubic root of 2365064 is about 133.2337645528.

The spelling of 2365064 in words is "two million, three hundred sixty-five thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 22741 45482 90964 181928 295633 591266 1182532 2365064