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23640141 = 3710612
BaseRepresentation
bin101101000101…
…1100001001101
31122111001011210
41122023201031
522022441031
62202405033
7404636460
oct132134115
948431153
1023640141
1112387208
127b00779
134b89265
1431d52d7
15211e746
hex168b84d

23640141 has 12 divisors (see below), whose sum is σ = 36057056. Its totient is φ = 13495920.

The previous prime is 23640137. The next prime is 23640181. The reversal of 23640141 is 14104632.

It is not a de Polignac number, because 23640141 - 22 = 23640137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23640121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21751 + ... + 22811.

Almost surely, 223640141 is an apocalyptic number.

23640141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23640141 is a deficient number, since it is larger than the sum of its proper divisors (12416915).

23640141 is an frugal number, since it uses more digits than its factorization.

23640141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23640141 is about 4862.1128123481. The cubic root of 23640141 is about 287.0009631423. Note that the first 3 decimals are identical.

Multiplying 23640141 by its sum of digits (21), we get a square (496442961 = 222812).

23640141 divided by its sum of digits (21) gives a square (1125721 = 10612).

Adding to 23640141 its reverse (14104632), we get a palindrome (37744773).

The spelling of 23640141 in words is "twenty-three million, six hundred forty thousand, one hundred forty-one".

Divisors: 1 3 7 21 1061 3183 7427 22281 1125721 3377163 7880047 23640141