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668428160 = 2758091291
BaseRepresentation
bin100111110101110…
…110011110000000
31201120202200001112
4213311312132000
52332104200120
6150154422452
722364355101
oct4765663600
91646680045
10668428160
11313345a74
12167a31a28
13a8636b2a
1464aba3a8
153da37bc5
hex27d76780

668428160 has 64 divisors (see below), whose sum is σ = 1601175600. Its totient is φ = 266833920.

The previous prime is 668428157. The next prime is 668428177. The reversal of 668428160 is 61824866.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517115 + ... + 518405.

Almost surely, 2668428160 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 668428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800587800).

668428160 is an abundant number, since it is smaller than the sum of its proper divisors (932747440).

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

668428160 is a wasteful number, since it uses less digits than its factorization.

668428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 668428160 is about 25853.9776436818. The cubic root of 668428160 is about 874.3491911625.

The spelling of 668428160 in words is "six hundred sixty-eight million, four hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 809 1291 1618 2582 3236 4045 5164 6455 6472 8090 10328 12910 12944 16180 20656 25820 25888 32360 41312 51640 51776 64720 82624 103280 103552 129440 165248 206560 258880 413120 517760 826240 1044419 2088838 4177676 5222095 8355352 10444190 16710704 20888380 33421408 41776760 66842816 83553520 133685632 167107040 334214080 668428160