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668131660 = 225724391553
BaseRepresentation
bin100111110100101…
…110000101001100
31201120012121100001
4213310232011030
52332020203120
6150144214044
722362011500
oct4764560514
91646177301
10668131660
11313163229
1216790a324
13a8561ba1
1464a40300
153d9c9e0a
hex27d2e14c

668131660 has 72 divisors (see below), whose sum is σ = 1636921440. Its totient is φ = 228404736.

The previous prime is 668131619. The next prime is 668131661. The reversal of 668131660 is 66131866.

It is a happy number.

668131660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (668131661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429444 + ... + 430996.

It is an arithmetic number, because the mean of its divisors is an integer number (22735020).

Almost surely, 2668131660 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 668131660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818460720).

668131660 is an abundant number, since it is smaller than the sum of its proper divisors (968789780).

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

668131660 is a wasteful number, since it uses less digits than its factorization.

668131660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 668131660 is about 25848.2428803197. The cubic root of 668131660 is about 874.2198913654.

The spelling of 668131660 in words is "six hundred sixty-eight million, one hundred thirty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 439 490 878 980 1553 1756 2195 3073 3106 4390 6146 6212 7765 8780 10871 12292 15365 15530 21511 21742 30730 31060 43022 43484 54355 61460 76097 86044 107555 108710 152194 215110 217420 304388 380485 430220 681767 760970 1363534 1521940 2727068 3408835 4772369 6817670 9544738 13635340 19089476 23861845 33406583 47723690 66813166 95447380 133626332 167032915 334065830 668131660