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23640077 = 375411181
BaseRepresentation
bin101101000101…
…1100000001101
31122111001002102
41122023200031
522022440302
62202404445
7404636336
oct132134015
948431072
1023640077
111238715a
127b00725
134b89216
1431d528d
15211e702
hex168b80d

23640077 has 8 divisors (see below), whose sum is σ = 24344472. Its totient is φ = 22939200.

The previous prime is 23640059. The next prime is 23640083. The reversal of 23640077 is 77004632.

It can be written as a sum of positive squares in 4 ways, for example, as 12524521 + 11115556 = 3539^2 + 3334^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23640077 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 (23640037) 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 7 ways as a sum of consecutive naturals, for example, 19427 + ... + 20607.

It is an arithmetic number, because the mean of its divisors is an integer number (3043059).

Almost surely, 223640077 is an apocalyptic number.

It is an amenable number.

23640077 is a deficient number, since it is larger than the sum of its proper divisors (704395).

23640077 is a wasteful number, since it uses less digits than its factorization.

23640077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759.

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 23640077 is about 4862.1062308428. The cubic root of 23640077 is about 287.0007041467. Note that the first 3 decimals are identical.

The spelling of 23640077 in words is "twenty-three million, six hundred forty thousand, seventy-seven".

Divisors: 1 37 541 1181 20017 43697 638921 23640077