Base | Representation |
---|---|
bin | 101101000010… |
… | …0110000000100 |
3 | 1122102122011002 |
4 | 1122010300010 |
5 | 22021044140 |
6 | 2202032432 |
7 | 404462606 |
oct | 132046004 |
9 | 48378132 |
10 | 23612420 |
11 | 123683a7 |
12 | 7aa8718 |
13 | 4b79760 |
14 | 31c9176 |
15 | 2116415 |
hex | 1684c04 |
23612420 has 48 divisors (see below), whose sum is σ = 53787888. Its totient is φ = 8655360.
The previous prime is 23612417. The next prime is 23612423. The reversal of 23612420 is 2421632.
It is an interprime number because it is at equal distance from previous prime (23612417) and next prime (23612423).
It can be written as a sum of positive squares in 8 ways, for example, as 31684 + 23580736 = 178^2 + 4856^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 23612392 and 23612401.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23612423) 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, 50990 + ... + 51450.
It is an arithmetic number, because the mean of its divisors is an integer number (1120581).
Almost surely, 223612420 is an apocalyptic number.
23612420 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 23612420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26893944).
23612420 is an abundant number, since it is smaller than the sum of its proper divisors (30175468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23612420 is a wasteful number, since it uses less digits than its factorization.
23612420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 680 (or 678 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 23612420 is about 4859.2612607268. The cubic root of 23612420 is about 286.8887378457. Note that the first 3 decimals are identical.
The spelling of 23612420 in words is "twenty-three million, six hundred twelve thousand, four hundred twenty".
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