Search a number
-
+
26850340 = 22511312127
BaseRepresentation
bin110011001101…
…1010000100100
31212112010202001
41212123100210
523333202330
62355255044
7444136606
oct146332044
955463661
1026850340
111417a070
128baa484
13574149a
1437cd176
1525559ca
hex199b424

26850340 has 72 divisors (see below), whose sum is σ = 64060416. Its totient is φ = 9374400.

The previous prime is 26850337. The next prime is 26850347. The reversal of 26850340 is 4305862.

It is a junction number, because it is equal to n+sod(n) for n = 26850299 and 26850308.

It is not an unprimeable number, because it can be changed into a prime (26850347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211357 + ... + 211483.

It is an arithmetic number, because the mean of its divisors is an integer number (889728).

Almost surely, 226850340 is an apocalyptic number.

26850340 is a gapful number since it is divisible by the number (20) 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 26850340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32030208).

26850340 is an abundant number, since it is smaller than the sum of its proper divisors (37210076).

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

26850340 is a wasteful number, since it uses less digits than its factorization.

26850340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 26850340 is about 5181.7313708837. The cubic root of 26850340 is about 299.4446763903. Note that the first 3 decimals are identical.

The spelling of 26850340 in words is "twenty-six million, eight hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 127 155 220 254 310 341 508 620 635 682 961 1270 1364 1397 1705 1922 2540 2794 3410 3844 3937 4805 5588 6820 6985 7874 9610 10571 13970 15748 19220 19685 21142 27940 39370 42284 43307 52855 78740 86614 105710 122047 173228 211420 216535 244094 433070 488188 610235 866140 1220470 1342517 2440940 2685034 5370068 6712585 13425170 26850340