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26260128 = 2532194799
BaseRepresentation
bin110010000101…
…1001010100000
31211102011010100
41210023022200
523210311003
62334502400
7436131066
oct144131240
954364110
1026260128
1113906694
128964a00
13559594b
1436b8036
15248aba3
hex190b2a0

26260128 has 72 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 8290944.

The previous prime is 26260127. The next prime is 26260163. The reversal of 26260128 is 82106262.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (26260127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3073 + ... + 7871.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 226260128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26260128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

26260128 is an abundant number, since it is smaller than the sum of its proper divisors (52363872).

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

26260128 is a wasteful number, since it uses less digits than its factorization.

26260128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26260128 is about 5124.4636792546. The cubic root of 26260128 is about 297.2343149721.

The spelling of 26260128 in words is "twenty-six million, two hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 4799 5472 9598 14397 19196 28794 38392 43191 57588 76784 86382 91181 115176 153568 172764 182362 230352 273543 345528 364724 460704 547086 691056 729448 820629 1094172 1382112 1458896 1641258 2188344 2917792 3282516 4376688 6565032 8753376 13130064 26260128