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2153365 = 51921193
BaseRepresentation
bin1000001101101110010101
311001101212021
420031232111
51022401430
6114053141
724206014
oct10155625
94041767
102153365
111240945
1287a1b1
135a51a6
14400a7b
152c807a
hex20db95

2153365 has 12 divisors (see below), whose sum is σ = 2729484. Its totient is φ = 1630656.

The previous prime is 2153351. The next prime is 2153369. The reversal of 2153365 is 5633512.

It is a happy number.

2153365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 938961 + 1214404 = 969^2 + 1102^2 .

It is not a de Polignac number, because 2153365 - 213 = 2145173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1209 + ... + 2401.

It is an arithmetic number, because the mean of its divisors is an integer number (227457).

22153365 is an apocalyptic number.

It is an amenable number.

2153365 is a deficient number, since it is larger than the sum of its proper divisors (576119).

2153365 is a wasteful number, since it uses less digits than its factorization.

2153365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1217 counting only the distinct ones).

The product of its digits is 2700, while the sum is 25.

The square root of 2153365 is about 1467.4348367134. The cubic root of 2153365 is about 129.1335875519.

Adding to 2153365 its reverse (5633512), we get a palindrome (7786877).

The spelling of 2153365 in words is "two million, one hundred fifty-three thousand, three hundred sixty-five".

Divisors: 1 5 19 95 361 1193 1805 5965 22667 113335 430673 2153365