Search a number
-
+
2136423024 = 243238338737
BaseRepresentation
bin111111101010111…
…0011101001110000
312111220001112102200
41333111303221300
513333411014044
6551554543200
7103641203361
oct17725635160
95456045380
102136423024
119a6a5626a
124b7597b00
13280801548
14163a4bb68
15c785e369
hex7f573a70

2136423024 has 60 divisors (see below), whose sum is σ = 5994782976. Its totient is φ = 710263296.

The previous prime is 2136422989. The next prime is 2136423059. The reversal of 2136423024 is 4203246312.

2136423024 is a `hidden beast` number, since 2 + 13 + 642 + 3 + 0 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2136422989) and next prime (2136423059).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35784 + ... + 74520.

Almost surely, 22136423024 is an apocalyptic number.

2136423024 is a gapful number since it is divisible by the number (24) 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 2136423024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997391488).

2136423024 is an abundant number, since it is smaller than the sum of its proper divisors (3858359952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2136423024 is a wasteful number, since it uses less digits than its factorization.

2136423024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39134 (or 39125 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2136423024 is about 46221.4563163040. The cubic root of 2136423024 is about 1287.9403512620.

Adding to 2136423024 its reverse (4203246312), we get a palindrome (6339669336).

The spelling of 2136423024 in words is "two billion, one hundred thirty-six million, four hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 383 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 13788 18384 27576 38737 55152 77474 116211 154948 232422 309896 348633 464844 619792 697266 929688 1394532 1859376 2789064 5578128 14836271 29672542 44508813 59345084 89017626 118690168 133526439 178035252 237380336 267052878 356070504 534105756 712141008 1068211512 2136423024