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260530416 = 24323894651
BaseRepresentation
bin11111000011101…
…10000011110000
3200011020022112200
433201312003300
51013143433131
641504023200
76312320616
oct1741660360
9604208480
10260530416
111240763a3
1273301b00
1341c8b813
142685b6b6
1517d142e6
hexf8760f0

260530416 has 60 divisors (see below), whose sum is σ = 731154840. Its totient is φ = 86601600.

The previous prime is 260530379. The next prime is 260530433. The reversal of 260530416 is 614035062.

260530416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2605304163 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 260530416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53691 + ... + 58341.

It is an arithmetic number, because the mean of its divisors is an integer number (12185914).

Almost surely, 2260530416 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 260530416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365577420).

260530416 is an abundant number, since it is smaller than the sum of its proper divisors (470624424).

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

260530416 is a wasteful number, since it uses less digits than its factorization.

260530416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 260530416 is about 16140.9546186091. The cubic root of 260530416 is about 638.6841584599.

Adding to 260530416 its reverse (614035062), we get a palindrome (874565478).

The spelling of 260530416 in words is "two hundred sixty million, five hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 389 778 1167 1556 2334 3112 3501 4651 4668 6224 7002 9302 9336 13953 14004 18604 18672 27906 28008 37208 41859 55812 56016 74416 83718 111624 167436 223248 334872 669744 1809239 3618478 5427717 7236956 10855434 14473912 16283151 21710868 28947824 32566302 43421736 65132604 86843472 130265208 260530416