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668526560 = 255132911083
BaseRepresentation
bin100111110110001…
…110011111100000
31201120221200000222
4213312032133200
52332120322220
6150200502212
722365245012
oct4766163740
91646850028
10668526560
11313402999
12167a7a968
13a866c860
1464b041b2
153da56e25
hex27d8e7e0

668526560 has 96 divisors (see below), whose sum is σ = 1759695840. Its totient is φ = 238307328.

The previous prime is 668526559. The next prime is 668526583. The reversal of 668526560 is 65625866.

It is a happy number.

It is a super-2 number, since 2×6685265602 = 893855522850867200, 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54779 + ... + 65861.

It is an arithmetic number, because the mean of its divisors is an integer number (18330165).

Almost surely, 2668526560 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 668526560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879847920).

668526560 is an abundant number, since it is smaller than the sum of its proper divisors (1091169280).

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

668526560 is a wasteful number, since it uses less digits than its factorization.

668526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140 (or 11132 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 668526560 is about 25855.8805690311. The cubic root of 668526560 is about 874.3920936732.

The spelling of 668526560 in words is "six hundred sixty-eight million, five hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1508 1885 2080 2320 3016 3770 4640 6032 7540 11083 12064 15080 22166 30160 44332 55415 60320 88664 110830 144079 177328 221660 288158 321407 354656 443320 576316 642814 720395 886640 1152632 1285628 1440790 1607035 1773280 2305264 2571256 2881580 3214070 4178291 4610528 5142512 5763160 6428140 8356582 10285024 11526320 12856280 16713164 20891455 23052640 25712560 33426328 41782910 51425120 66852656 83565820 133705312 167131640 334263280 668526560