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26894020 = 2252989521
BaseRepresentation
bin110011010010…
…1111011000100
31212121100122211
41212211323010
523341102040
62400233204
7444411136
oct146457304
955540584
1026894020
11141a996a
12900b804
13575832a
143801056
1525638ea
hex19a5ec4

26894020 has 48 divisors (see below), whose sum is σ = 59194800. Its totient is φ = 10250240.

The previous prime is 26893981. The next prime is 26894027. The reversal of 26894020 is 2049862.

It can be written as a sum of positive squares in 8 ways, for example, as 2903616 + 23990404 = 1704^2 + 4898^2 .

It is not an unprimeable number, because it can be changed into a prime (26894027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51360 + ... + 51880.

It is an arithmetic number, because the mean of its divisors is an integer number (1233225).

Almost surely, 226894020 is an apocalyptic number.

26894020 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 26894020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29597400).

26894020 is an abundant number, since it is smaller than the sum of its proper divisors (32300780).

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

26894020 is a wasteful number, since it uses less digits than its factorization.

26894020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 26894020 is about 5185.9444655723. The cubic root of 26894020 is about 299.6069667893.

The spelling of 26894020 in words is "twenty-six million, eight hundred ninety-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 521 580 890 1042 1780 2084 2581 2605 5162 5210 10324 10420 12905 15109 25810 30218 46369 51620 60436 75545 92738 151090 185476 231845 302180 463690 927380 1344701 2689402 5378804 6723505 13447010 26894020