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668368140 = 2235111012679
BaseRepresentation
bin100111110101100…
…111110100001100
31201120122121201120
4213311213310030
52332100240030
6150153240540
722364015106
oct4765476414
91646577646
10668368140
11313304970
12167a03150
13a861570b
1464aa2576
153da25010
hex27d67d0c

668368140 has 48 divisors (see below), whose sum is σ = 2041562880. Its totient is φ = 162028480.

The previous prime is 668368139. The next prime is 668368147. The reversal of 668368140 is 41863866.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 668368092 and 668368101.

It is not an unprimeable number, because it can be changed into a prime (668368147) by changing a digit.

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, 505680 + ... + 506999.

It is an arithmetic number, because the mean of its divisors is an integer number (42532560).

Almost surely, 2668368140 is an apocalyptic number.

668368140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668368140 is an abundant number, since it is smaller than the sum of its proper divisors (1373194740).

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

668368140 is a wasteful number, since it uses less digits than its factorization.

668368140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012702 (or 1012700 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 668368140 is about 25852.8168677999. The cubic root of 668368140 is about 874.3230203075.

The spelling of 668368140 in words is "six hundred sixty-eight million, three hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1012679 2025358 3038037 4050716 5063395 6076074 10126790 11139469 12152148 15190185 20253580 22278938 30380370 33418407 44557876 55697345 60760740 66836814 111394690 133673628 167092035 222789380 334184070 668368140