Search a number
-
+
26778030 = 23519109431
BaseRepresentation
bin110011000100…
…1100110101110
31212101110112220
41212021212232
523323344110
62353540210
7443416026
oct146114656
955343486
1026778030
111412a804
128b74666
1357175b6
1437b0a86
15253e370
hex19899ae

26778030 has 64 divisors (see below), whose sum is σ = 68428800. Its totient is φ = 6687360.

The previous prime is 26778023. The next prime is 26778061. The reversal of 26778030 is 3087762.

It is a junction number, because it is equal to n+sod(n) for n = 26777982 and 26778000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 61915 + ... + 62345.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 226778030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26778030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34214400).

26778030 is an abundant number, since it is smaller than the sum of its proper divisors (41650770).

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

26778030 is a wasteful number, since it uses less digits than its factorization.

26778030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 26778030 is about 5174.7492692883. The cubic root of 26778030 is about 299.1756256536.

The spelling of 26778030 in words is "twenty-six million, seven hundred seventy-eight thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 109 114 190 218 285 327 431 545 570 654 862 1090 1293 1635 2071 2155 2586 3270 4142 4310 6213 6465 8189 10355 12426 12930 16378 20710 24567 31065 40945 46979 49134 62130 81890 93958 122835 140937 234895 245670 281874 469790 704685 892601 1409370 1785202 2677803 4463005 5355606 8926010 13389015 26778030