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23640040 = 2353715973
BaseRepresentation
bin101101000101…
…1011111101000
31122111001001001
41122023133220
522022440130
62202404344
7404636254
oct132133750
948431031
1023640040
1112387126
127b006b4
134b891b8
1431d5264
15211e6ca
hex168b7e8

23640040 has 32 divisors (see below), whose sum is σ = 54631080. Its totient is φ = 9199872.

The previous prime is 23640037. The next prime is 23640049. The reversal of 23640040 is 4004632.

It can be written as a sum of positive squares in 4 ways, for example, as 23367556 + 272484 = 4834^2 + 522^2 .

It is not an unprimeable number, because it can be changed into a prime (23640049) 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, 6507 + ... + 9466.

Almost surely, 223640040 is an apocalyptic number.

23640040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23640040 is an abundant number, since it is smaller than the sum of its proper divisors (30991040).

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

23640040 is a wasteful number, since it uses less digits than its factorization.

23640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16021 (or 16017 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 23640040 is about 4862.1024259059. The cubic root of 23640040 is about 287.0005544146. Note that the first 3 decimals are identical.

Adding to 23640040 its reverse (4004632), we get a palindrome (27644672).

The spelling of 23640040 in words is "twenty-three million, six hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 15973 31946 63892 79865 127784 159730 319460 591001 638920 1182002 2364004 2955005 4728008 5910010 11820020 23640040