Base | Representation |
---|---|
bin | 101101010011… |
… | …1110101101100 |
3 | 1122200221022001 |
4 | 1122213311230 |
5 | 22040144030 |
6 | 2205102044 |
7 | 405631612 |
oct | 132476554 |
9 | 48627261 |
10 | 23756140 |
11 | 12456381 |
12 | 7b57924 |
13 | 4bc9cb5 |
14 | 32256b2 |
15 | 2143cca |
hex | 16a7d6c |
23756140 has 48 divisors (see below), whose sum is σ = 53397792. Its totient is φ = 8846336.
The previous prime is 23756129. The next prime is 23756143. The reversal of 23756140 is 4165732.
It is a junction number, because it is equal to n+sod(n) for n = 23756099 and 23756108.
It is not an unprimeable number, because it can be changed into a prime (23756143) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36054 + ... + 36706.
It is an arithmetic number, because the mean of its divisors is an integer number (1112454).
Almost surely, 223756140 is an apocalyptic number.
23756140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23756140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26698896).
23756140 is an abundant number, since it is smaller than the sum of its proper divisors (29641652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23756140 is a wasteful number, since it uses less digits than its factorization.
23756140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 786 (or 784 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 28.
The square root of 23756140 is about 4874.0270824032. The cubic root of 23756140 is about 287.4696224993.
It can be divided in two parts, 2375 and 6140, that added together give a triangular number (8515 = T130).
The spelling of 23756140 in words is "twenty-three million, seven hundred fifty-six thousand, one hundred forty".
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