Base | Representation |
---|---|
bin | 1001000011011000… |
… | …0110110000010010 |
3 | 20021100200000000000 |
4 | 2100312012300102 |
5 | 14434101240141 |
6 | 1041045310430 |
7 | 114135350034 |
oct | 22066066022 |
9 | 6240600000 |
10 | 2430102546 |
11 | 1037803013 |
12 | 579a05416 |
13 | 2c95c8501 |
14 | 190a57c54 |
15 | e35205b6 |
hex | 90d86c12 |
2430102546 has 96 divisors (see below), whose sum is σ = 5771438400. Its totient is φ = 767400804.
The previous prime is 2430102541. The next prime is 2430102599. The reversal of 2430102546 is 6452010342.
2430102546 is nontrivially palindromic in base 8.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (2430102541) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127900125 + ... + 127900143.
It is an arithmetic number, because the mean of its divisors is an integer number (60119150).
Almost surely, 22430102546 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2430102546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885719200).
2430102546 is an abundant number, since it is smaller than the sum of its proper divisors (3341335854).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2430102546 is an frugal number, since it uses more digits than its factorization.
2430102546 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 92 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 2430102546 is about 49296.0702896286. The cubic root of 2430102546 is about 1344.4403352292.
Adding to 2430102546 its reverse (6452010342), we get a palindrome (8882112888).
It can be divided in two parts, 2430 and 102546, that added together give a 4-th power (104976 = 184).
The spelling of 2430102546 in words is "two billion, four hundred thirty million, one hundred two thousand, five hundred forty-six".
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