Base | Representation |
---|---|
bin | 1000000000010011… |
… | …1001000011101010 |
3 | 12112202021121201100 |
4 | 2000010321003222 |
5 | 13400041002210 |
6 | 553115302230 |
7 | 104151131463 |
oct | 20004710352 |
9 | 5482247640 |
10 | 2148765930 |
11 | a02a16713 |
12 | 4bb74a976 |
13 | 28323363c |
14 | 165541d6a |
15 | c899b5c0 |
hex | 801390ea |
2148765930 has 48 divisors (see below), whose sum is σ = 5767017984. Its totient is φ = 554519520.
The previous prime is 2148765929. The next prime is 2148765937. The reversal of 2148765930 is 395678412.
2148765930 is a `hidden beast` number, since 21 + 487 + 65 + 93 + 0 = 666.
2148765930 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
2148765930 is strictly pandigital in base 10.
It is not an unprimeable number, because it can be changed into a prime (2148765937) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382294 + ... + 387873.
It is an arithmetic number, because the mean of its divisors is an integer number (120146208).
It is a 2-persistent number, because it is pandigital, and so is 2⋅2148765930 = 4297531860, but 3⋅2148765930 = 6446297790 is not.
Almost surely, 22148765930 is an apocalyptic number.
2148765930 is an abundant number, since it is smaller than the sum of its proper divisors (3618252054).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2148765930 is a wasteful number, since it uses less digits than its factorization.
2148765930 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 770211 (or 770208 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 2148765930 is about 46354.7832483337. The cubic root of 2148765930 is about 1290.4158925840.
The spelling of 2148765930 in words is "two billion, one hundred forty-eight million, seven hundred sixty-five thousand, nine hundred thirty".
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