Search a number
-
+
2105246592 = 27332112887
BaseRepresentation
bin111110101111011…
…1000001110000000
312102201101121102000
41331132320032000
513302420342332
6544522424000
7103112205111
oct17536701600
95381347360
102105246592
119903a1a19
124a9062000
13277206c57
1415d854208
15c4c51b7c
hex7d7b8380

2105246592 has 128 divisors (see below), whose sum is σ = 6245011200. Its totient is φ = 698181120.

The previous prime is 2105246587. The next prime is 2105246599. The reversal of 2105246592 is 2956425012.

2105246592 is a `hidden beast` number, since 2 + 10 + 52 + 4 + 6 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21052465922 = 8864126426255228928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105246599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727773 + ... + 730659.

It is an arithmetic number, because the mean of its divisors is an integer number (48789150).

Almost surely, 22105246592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105246592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122505600).

2105246592 is an abundant number, since it is smaller than the sum of its proper divisors (4139764608).

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

2105246592 is a wasteful number, since it uses less digits than its factorization.

2105246592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2105246592 is about 45882.9662511046. The cubic root of 2105246592 is about 1281.6447346531.

The spelling of 2105246592 in words is "two billion, one hundred five million, two hundred forty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 211 216 288 384 422 432 576 633 844 864 1152 1266 1688 1728 1899 2532 2887 3376 3456 3798 5064 5697 5774 6752 7596 8661 10128 11394 11548 13504 15192 17322 20256 22788 23096 25983 27008 30384 34644 40512 45576 46192 51966 60768 69288 77949 81024 91152 92384 103932 121536 138576 155898 182304 184768 207864 243072 277152 311796 364608 369536 415728 554304 609157 623592 729216 831456 1108608 1218314 1247184 1662912 1827471 2436628 2494368 3325824 3654942 4873256 4988736 5482413 7309884 9746512 9977472 10964826 14619768 16447239 19493024 21929652 29239536 32894478 38986048 43859304 58479072 65788956 77972096 87718608 116958144 131577912 175437216 233916288 263155824 350874432 526311648 701748864 1052623296 2105246592