Base | Representation |
---|---|
bin | 101100010000… |
… | …1110110100000 |
3 | 1121200001110200 |
4 | 1120201312200 |
5 | 21420113303 |
6 | 2145225200 |
7 | 401154564 |
oct | 130416640 |
9 | 47601420 |
10 | 23207328 |
11 | 12111011 |
12 | 7932200 |
13 | 4a67261 |
14 | 31216a4 |
15 | 20863a3 |
hex | 1621da0 |
23207328 has 72 divisors (see below), whose sum is σ = 67128516. Its totient is φ = 7603200.
The previous prime is 23207323. The next prime is 23207333. The reversal of 23207328 is 82370232.
It is an interprime number because it is at equal distance from previous prime (23207323) and next prime (23207333).
It can be written as a sum of positive squares in 2 ways, for example, as 23155344 + 51984 = 4812^2 + 228^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is not an unprimeable number, because it can be changed into a prime (23207321) 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, 16908 + ... + 18228.
Almost surely, 223207328 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23207328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33564258).
23207328 is an abundant number, since it is smaller than the sum of its proper divisors (43921188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23207328 is a wasteful number, since it uses less digits than its factorization.
23207328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1398 (or 1387 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 23207328 is about 4817.3984680531. The cubic root of 23207328 is about 285.2386551300.
The spelling of 23207328 in words is "twenty-three million, two hundred seven thousand, three hundred twenty-eight".
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