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26093140 = 225372953
BaseRepresentation
bin110001110001…
…0011001010100
31211002200001121
41203202121110
523134440030
62331133324
7434534203
oct143423124
954080047
1026093140
1113802187
1288a4244
135537938
14367323a
15245647a
hex18e2654

26093140 has 36 divisors (see below), whose sum is σ = 56375676. Its totient is φ = 10144512.

The previous prime is 26093129. The next prime is 26093149. The reversal of 26093140 is 4139062.

It can be written as a sum of positive squares in 6 ways, for example, as 2937796 + 23155344 = 1714^2 + 4812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26093149) 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 11 ways as a sum of consecutive naturals, for example, 26904 + ... + 27856.

It is an arithmetic number, because the mean of its divisors is an integer number (1565991).

Almost surely, 226093140 is an apocalyptic number.

26093140 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 26093140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28187838).

26093140 is an abundant number, since it is smaller than the sum of its proper divisors (30282536).

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

26093140 is a wasteful number, since it uses less digits than its factorization.

26093140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 26093140 is about 5108.1444772050. The cubic root of 26093140 is about 296.6029376779.

The spelling of 26093140 in words is "twenty-six million, ninety-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 953 1369 1906 2738 3812 4765 5476 6845 9530 13690 19060 27380 35261 70522 141044 176305 352610 705220 1304657 2609314 5218628 6523285 13046570 26093140