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260206016 = 2671035639
BaseRepresentation
bin11111000001001…
…10110111000000
3200010121211112212
433200212313000
51013103043031
641453041252
76306500060
oct1740466700
9603554485
10260206016
111239746a4
1273186228
1341ba6c75
14267b53a0
1517c9d12b
hexf826dc0

260206016 has 56 divisors (see below), whose sum is σ = 595944960. Its totient is φ = 110414592.

The previous prime is 260206003. The next prime is 260206021. The reversal of 260206016 is 610602062.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 260205982 and 260206000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43325 + ... + 48963.

Almost surely, 2260206016 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 260206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297972480).

260206016 is an abundant number, since it is smaller than the sum of its proper divisors (335738944).

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

260206016 is a wasteful number, since it uses less digits than its factorization.

260206016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 260206016 is about 16130.9025165984. The cubic root of 260206016 is about 638.4189620480.

Adding to 260206016 its reverse (610602062), we get a palindrome (870808078).

The spelling of 260206016 in words is "two hundred sixty million, two hundred six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 412 448 721 824 1442 1648 2884 3296 5639 5768 6592 11278 11536 22556 23072 39473 45112 46144 78946 90224 157892 180448 315784 360896 580817 631568 1161634 1263136 2323268 2526272 4065719 4646536 8131438 9293072 16262876 18586144 32525752 37172288 65051504 130103008 260206016