Search a number
-
+
260288896 = 277319371
BaseRepresentation
bin11111000001110…
…11000110000000
3200010210001020111
433200323012000
51013113221041
641454521104
76310263520
oct1740730600
9603701214
10260288896
11123a2099a
1273206194
1341c058ca
14267d7680
1517cb7981
hexf83b180

260288896 has 64 divisors (see below), whose sum is σ = 611804160. Its totient is φ = 107942400.

The previous prime is 260288863. The next prime is 260288909. The reversal of 260288896 is 698882062.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23091 + ... + 32461.

It is an arithmetic number, because the mean of its divisors is an integer number (9559440).

Almost surely, 2260288896 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 260288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305902080).

260288896 is an abundant number, since it is smaller than the sum of its proper divisors (351515264).

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

260288896 is an equidigital number, since it uses as much as digits as its factorization.

260288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9423 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The square root of 260288896 is about 16133.4712941760. The cubic root of 260288896 is about 638.4867372511.

The spelling of 260288896 in words is "two hundred sixty million, two hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 9371 13888 18742 27776 37484 65597 74968 131194 149936 262388 290501 299872 524776 581002 599744 1049552 1162004 1199488 2033507 2099104 2324008 4067014 4198208 4648016 8134028 8396416 9296032 16268056 18592064 32536112 37184128 65072224 130144448 260288896