Base | Representation |
---|---|
bin | 101011111100… |
… | …1000001100100 |
3 | 1121100120002001 |
4 | 1113321001210 |
5 | 21344240400 |
6 | 2141455044 |
7 | 366560206 |
oct | 127710144 |
9 | 47316061 |
10 | 23040100 |
11 | 12007406 |
12 | 7871484 |
13 | 4a090c5 |
14 | 30ba776 |
15 | 2051a6a |
hex | 15f9064 |
23040100 has 36 divisors (see below), whose sum is σ = 52941924. Its totient is φ = 8673280.
The previous prime is 23040091. The next prime is 23040109. The reversal of 23040100 is 104032.
It is an interprime number because it is at equal distance from previous prime (23040091) and next prime (23040109).
It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 22486564 = 744^2 + 4742^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (23040109) 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, 5077 + ... + 8476.
It is an arithmetic number, because the mean of its divisors is an integer number (1470609).
Almost surely, 223040100 is an apocalyptic number.
23040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23040100 is an abundant number, since it is smaller than the sum of its proper divisors (29901824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23040100 is a wasteful number, since it uses less digits than its factorization.
23040100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13584 (or 13577 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 23040100 is about 4800.0104166554. The cubic root of 23040100 is about 284.5518760361.
Adding to 23040100 its reverse (104032), we get a palindrome (23144132).
The spelling of 23040100 in words is "twenty-three million, forty thousand, one hundred".
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