Search a number
-
+
2128108026 = 2311319710723
BaseRepresentation
bin111111011011000…
…0101100111111010
312111022102002101210
41332312011213322
513324243424101
6551100423550
7103510422402
oct17666054772
95438362353
102128108026
119a2297070
124b4847bb6
1327bb7c925
141628c5802
15c6c6a7d6
hex7ed859fa

2128108026 has 64 divisors (see below), whose sum is σ = 4842786816. Its totient is φ = 617587200.

The previous prime is 2128108019. The next prime is 2128108027. The reversal of 2128108026 is 6208018212.

It is a junction number, because it is equal to n+sod(n) for n = 2128107984 and 2128108002.

It is not an unprimeable number, because it can be changed into a prime (2128108027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193101 + ... + 203823.

It is an arithmetic number, because the mean of its divisors is an integer number (75668544).

Almost surely, 22128108026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128108026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421393408).

2128108026 is an abundant number, since it is smaller than the sum of its proper divisors (2714678790).

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

2128108026 is a wasteful number, since it uses less digits than its factorization.

2128108026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10867.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 2128108026 is about 46131.4212440935. The cubic root of 2128108026 is about 1286.2672829387.

The spelling of 2128108026 in words is "two billion, one hundred twenty-eight million, one hundred eight thousand, twenty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 97 186 194 291 341 582 682 1023 1067 2046 2134 3007 3201 6014 6402 9021 10723 18042 21446 32169 33077 64338 66154 99231 117953 198462 235906 332413 353859 664826 707718 997239 1040131 1994478 2080262 3120393 3656543 6240786 7313086 10969629 11441441 21939258 22882882 32244061 34324323 64488122 68648646 96732183 193464366 354684671 709369342 1064054013 2128108026