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166000660 = 225723311663
BaseRepresentation
bin10011110010011…
…11100000010100
3102120100201002121
421321033200110
5314444010120
624245545324
74053660640
oct1171174024
9376321077
10166000660
1185780831
1247715244
1328511b57
1418091c20
15e8905aa
hex9e4f814

166000660 has 96 divisors (see below), whose sum is σ = 429391872. Its totient is φ = 52652160.

The previous prime is 166000657. The next prime is 166000661. The reversal of 166000660 is 66000661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166000661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98989 + ... + 100651.

It is an arithmetic number, because the mean of its divisors is an integer number (4472832).

Almost surely, 2166000660 is an apocalyptic number.

166000660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214695936).

166000660 is an abundant number, since it is smaller than the sum of its proper divisors (263391212).

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

166000660 is a wasteful number, since it uses less digits than its factorization.

166000660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 166000660 is about 12884.1243396670. The cubic root of 166000660 is about 549.5871943761.

Subtracting from 166000660 its reverse (66000661), we obtain a palindrome (99999999).

The spelling of 166000660 in words is "one hundred sixty-six million, six hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 23 28 31 35 46 62 70 92 115 124 140 155 161 217 230 310 322 434 460 620 644 713 805 868 1085 1426 1610 1663 2170 2852 3220 3326 3565 4340 4991 6652 7130 8315 9982 11641 14260 16630 19964 23282 24955 33260 38249 46564 49910 51553 58205 76498 99820 103106 116410 152996 191245 206212 232820 257765 267743 360871 382490 515530 535486 721742 764980 1031060 1070972 1185719 1338715 1443484 1804355 2371438 2677430 3608710 4742876 5354860 5928595 7217420 8300033 11857190 16600066 23714380 33200132 41500165 83000330 166000660