Base | Representation |
---|---|
bin | 111111101011101… |
… | …1011010011100110 |
3 | 12111220212002211100 |
4 | 1333113123103212 |
5 | 13334013110330 |
6 | 552012020530 |
7 | 103644622233 |
oct | 17727332346 |
9 | 5456762740 |
10 | 2136847590 |
11 | 9a7216249 |
12 | 4b7761746 |
13 | 28091c877 |
14 | 163b1c78a |
15 | c78e5060 |
hex | 7f5db4e6 |
2136847590 has 96 divisors (see below), whose sum is σ = 5700854016. Its totient is φ = 555024960.
The previous prime is 2136847567. The next prime is 2136847619. The reversal of 2136847590 is 957486312.
2136847590 is a `hidden beast` number, since 2 + 13 + 6 + 8 + 47 + 590 = 666.
2136847590 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×21368475902 = 9132235245777616200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
2136847590 is strictly pandigital in base 10.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2209287 + ... + 2210253.
It is an arithmetic number, because the mean of its divisors is an integer number (59383896).
It is a 2-persistent number, because it is pandigital, and so is 2⋅2136847590 = 4273695180, but 3⋅2136847590 = 6410542770 is not.
Almost surely, 22136847590 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2136847590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850427008).
2136847590 is an abundant number, since it is smaller than the sum of its proper divisors (3564006426).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2136847590 is a wasteful number, since it uses less digits than its factorization.
2136847590 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1594 (or 1591 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 2136847590 is about 46226.0488253106. The cubic root of 2136847590 is about 1288.0256619985.
The spelling of 2136847590 in words is "two billion, one hundred thirty-six million, eight hundred forty-seven thousand, five hundred ninety".
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