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23640736 = 257215077
BaseRepresentation
bin101101000101…
…1101010100000
31122111001222211
41122023222200
522023000421
62202411504
7404641300
oct132135240
948431884
1023640736
11123876a9
127b00b94
134b89602
1431d5600
15211e9e1
hex168baa0

23640736 has 36 divisors (see below), whose sum is σ = 54145098. Its totient is φ = 10131072.

The previous prime is 23640691. The next prime is 23640737. The reversal of 23640736 is 63704632.

It can be written as a sum of positive squares in only one way, i.e., 23464336 + 176400 = 4844^2 + 420^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23640698 and 23640707.

It is not an unprimeable number, because it can be changed into a prime (23640737) 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 5 ways as a sum of consecutive naturals, for example, 5971 + ... + 9106.

Almost surely, 223640736 is an apocalyptic number.

It is an amenable number.

23640736 is an abundant number, since it is smaller than the sum of its proper divisors (30504362).

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

23640736 is a wasteful number, since it uses less digits than its factorization.

23640736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15101 (or 15086 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 23640736 is about 4862.1739993546. The cubic root of 23640736 is about 287.0033709697.

The spelling of 23640736 in words is "twenty-three million, six hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 15077 30154 60308 105539 120616 211078 241232 422156 482464 738773 844312 1477546 1688624 2955092 3377248 5910184 11820368 23640736