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23082641 = 101449509
BaseRepresentation
bin101100000001…
…1011010010001
31121102201102122
41120003122101
521402121031
62142424025
7400125221
oct130033221
947381378
1023082641
111203636a
127892015
134a2258a
1430cc081
15205e47b
hex1603691

23082641 has 8 divisors (see below), whose sum is σ = 23409000. Its totient is φ = 22758400.

The previous prime is 23082599. The next prime is 23082643. The reversal of 23082641 is 14628032.

It can be written as a sum of positive squares in 4 ways, for example, as 14409616 + 8673025 = 3796^2 + 2945^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23082641 - 214 = 23066257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23082641.

It is not an unprimeable number, because it can be changed into a prime (23082643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45095 + ... + 45603.

It is an arithmetic number, because the mean of its divisors is an integer number (2926125).

Almost surely, 223082641 is an apocalyptic number.

It is an amenable number.

23082641 is a deficient number, since it is larger than the sum of its proper divisors (326359).

23082641 is a wasteful number, since it uses less digits than its factorization.

23082641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 23082641 is about 4804.4397175946. The cubic root of 23082641 is about 284.7268995637.

Subtracting from 23082641 its sum of digits (26), we obtain a triangular number (23082615 = T6794).

The spelling of 23082641 in words is "twenty-three million, eighty-two thousand, six hundred forty-one".

Divisors: 1 101 449 509 45349 51409 228541 23082641