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26420960 = 255374463
BaseRepresentation
bin110010011001…
…0011011100000
31211201022202002
41210302123200
523230432320
62342143132
7440401016
oct144623340
954638662
1026420960
1113a06505
128a21aa8
135620c07
14371a8b6
1524bd675
hex19326e0

26420960 has 48 divisors (see below), whose sum is σ = 64120896. Its totient is φ = 10280448.

The previous prime is 26420939. The next prime is 26420969. The reversal of 26420960 is 6902462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26420969) 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 7 ways as a sum of consecutive naturals, for example, 3689 + ... + 8151.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 226420960 is an apocalyptic number.

26420960 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 26420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060448).

26420960 is an abundant number, since it is smaller than the sum of its proper divisors (37699936).

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

26420960 is a wasteful number, since it uses less digits than its factorization.

26420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 26420960 is about 5140.1322940173. The cubic root of 26420960 is about 297.8398911707.

The spelling of 26420960 in words is "twenty-six million, four hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 4463 5920 8926 17852 22315 35704 44630 71408 89260 142816 165131 178520 330262 357040 660524 714080 825655 1321048 1651310 2642096 3302620 5284192 6605240 13210480 26420960