Search a number
-
+
556352060 = 2251123432557
BaseRepresentation
bin100001001010010…
…100001000111100
31102202212121112212
4201022110020330
52114411231220
6131112315552
716533625445
oct4112241074
91382777485
10556352060
112660565a0
121363a2bb8
138b355804
1453c642cc
1533c9a0c5
hex2129423c

556352060 has 96 divisors (see below), whose sum is σ = 1361428992. Its totient is φ = 188939520.

The previous prime is 556352039. The next prime is 556352099. The reversal of 556352060 is 60253655.

It is a super-2 number, since 2×5563520602 = 619055229332487200, which contains 22 as substring.

It is a congruent number.

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, 216302 + ... + 218858.

It is an arithmetic number, because the mean of its divisors is an integer number (14181552).

Almost surely, 2556352060 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 556352060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680714496).

556352060 is an abundant number, since it is smaller than the sum of its proper divisors (805076932).

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

556352060 is a wasteful number, since it uses less digits than its factorization.

556352060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 556352060 is about 23587.1163985766. The cubic root of 556352060 is about 822.4633736150.

The spelling of 556352060 in words is "five hundred fifty-six million, three hundred fifty-two thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 23 43 44 46 55 86 92 110 115 172 215 220 230 253 430 460 473 506 860 946 989 1012 1265 1892 1978 2365 2530 2557 3956 4730 4945 5060 5114 9460 9890 10228 10879 12785 19780 21758 25570 28127 43516 51140 54395 56254 58811 108790 109951 112508 117622 140635 217580 219902 235244 281270 294055 439804 549755 562540 588110 646921 1099510 1176220 1209461 1293842 2199020 2418922 2528873 2587684 3234605 4837844 5057746 6047305 6469210 10115492 12094610 12644365 12938420 24189220 25288730 27817603 50577460 55635206 111270412 139088015 278176030 556352060