Base | Representation |
---|---|
bin | 1000000001011110… |
… | …1000011010011010 |
3 | 12120002112012111000 |
4 | 2000113220122122 |
5 | 13402320202430 |
6 | 553412445430 |
7 | 104240652015 |
oct | 20027503232 |
9 | 5502465430 |
10 | 2153678490 |
11 | a05771587 |
12 | 501319876 |
13 | 284263692 |
14 | 16606037c |
15 | c911be60 |
hex | 805e869a |
2153678490 has 128 divisors (see below), whose sum is σ = 6098872320. Its totient is φ = 538942464.
The previous prime is 2153678489. The next prime is 2153678503. The reversal of 2153678490 is 948763512.
2153678490 is a `hidden beast` number, since 2 + 1 + 536 + 78 + 49 + 0 = 666.
2153678490 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (45).
2153678490 is strictly pandigital in base 10.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2785744 + ... + 2786516.
It is an arithmetic number, because the mean of its divisors is an integer number (47647440).
It is a 1-persistent number, because it is pandigital, but 2⋅2153678490 = 4307356980 is not.
Almost surely, 22153678490 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2153678490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049436160).
2153678490 is an abundant number, since it is smaller than the sum of its proper divisors (3945193830).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2153678490 is a wasteful number, since it uses less digits than its factorization.
2153678490 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1413 (or 1407 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 2153678490 is about 46407.7417032977. The cubic root of 2153678490 is about 1291.3985373286.
The spelling of 2153678490 in words is "two billion, one hundred fifty-three million, six hundred seventy-eight thousand, four hundred ninety".
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