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260326400 = 2105210169
BaseRepresentation
bin11111000010001…
…00010000000000
3200010211221200112
433201010100000
51013120421100
641455410452
76310511045
oct1741042000
9603757615
10260326400
11123a47094
1273223a28
1341c199b9
14268071cc
1517cc3b35
hexf844400

260326400 has 66 divisors (see below), whose sum is σ = 645357690. Its totient is φ = 104120320.

The previous prime is 260326361. The next prime is 260326403. The reversal of 260326400 is 4623062.

260326400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 62980096 + 197346304 = 7936^2 + 14048^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (260326403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20516 + ... + 30684.

Almost surely, 2260326400 is an apocalyptic number.

260326400 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 260326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322678845).

260326400 is an abundant number, since it is smaller than the sum of its proper divisors (385031290).

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

260326400 is a wasteful number, since it uses less digits than its factorization.

260326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 260326400 is about 16134.6335564214. The cubic root of 260326400 is about 638.5174014566.

Adding to 260326400 its reverse (4623062), we get a palindrome (264949462).

The spelling of 260326400 in words is "two hundred sixty million, three hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 10169 12800 20338 25600 40676 50845 81352 101690 162704 203380 254225 325408 406760 508450 650816 813520 1016900 1301632 1627040 2033800 2603264 3254080 4067600 5206528 6508160 8135200 10413056 13016320 16270400 26032640 32540800 52065280 65081600 130163200 260326400