Base | Representation |
---|---|
bin | 101101010110… |
… | …1100011010100 |
3 | 1122202010101201 |
4 | 1122231203110 |
5 | 22041421130 |
6 | 2205402244 |
7 | 406060051 |
oct | 132554324 |
9 | 48663351 |
10 | 23779540 |
11 | 12471a14 |
12 | 7b69384 |
13 | 4c07845 |
14 | 3230028 |
15 | 214abca |
hex | 16ad8d4 |
23779540 has 12 divisors (see below), whose sum is σ = 49937076. Its totient is φ = 9511808.
The previous prime is 23779529. The next prime is 23779543. The reversal of 23779540 is 4597732.
It can be written as a sum of positive squares in 2 ways, for example, as 4717584 + 19061956 = 2172^2 + 4366^2 .
It is a super-2 number, since 2×237795402 = 1130933045223200, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 23779540.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23779543) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 594469 + ... + 594508.
It is an arithmetic number, because the mean of its divisors is an integer number (4161423).
Almost surely, 223779540 is an apocalyptic number.
23779540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23779540 is an abundant number, since it is smaller than the sum of its proper divisors (26157536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23779540 is a wasteful number, since it uses less digits than its factorization.
23779540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1188986 (or 1188984 counting only the distinct ones).
The product of its (nonzero) digits is 52920, while the sum is 37.
The square root of 23779540 is about 4876.4269706415. The cubic root of 23779540 is about 287.5639782003.
The spelling of 23779540 in words is "twenty-three million, seven hundred seventy-nine thousand, five hundred forty".
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