Search a number
-
+
556420260 = 2235116712583
BaseRepresentation
bin100001001010100…
…100110010100100
31102210000002002210
4201022210302210
52114420422020
6131114003420
716534331334
oct4112446244
91383002083
10556420260
112660a2860
12136416570
138b37a876
1453c810c4
1533cb03e0
hex212a4ca4

556420260 has 96 divisors (see below), whose sum is σ = 1725115392. Its totient is φ = 132865920.

The previous prime is 556420253. The next prime is 556420279. The reversal of 556420260 is 62024655.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37929 + ... + 50511.

It is an arithmetic number, because the mean of its divisors is an integer number (17969952).

Almost surely, 2556420260 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 556420260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862557696).

556420260 is an abundant number, since it is smaller than the sum of its proper divisors (1168695132).

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

556420260 is a wasteful number, since it uses less digits than its factorization.

556420260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12673 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 556420260 is about 23588.5620587606. The cubic root of 556420260 is about 822.4969792605.

The spelling of 556420260 in words is "five hundred fifty-six million, four hundred twenty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 268 330 335 402 660 670 737 804 1005 1340 1474 2010 2211 2948 3685 4020 4422 7370 8844 11055 12583 14740 22110 25166 37749 44220 50332 62915 75498 125830 138413 150996 188745 251660 276826 377490 415239 553652 692065 754980 830478 843061 1384130 1660956 1686122 2076195 2529183 2768260 3372244 4152390 4215305 5058366 8304780 8430610 9273671 10116732 12645915 16861220 18547342 25291830 27821013 37094684 46368355 50583660 55642026 92736710 111284052 139105065 185473420 278210130 556420260