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166141000 = 23531729337
BaseRepresentation
bin10011110011100…
…01110001001000
3102120121211121101
421321301301020
5320013003000
624252551144
74055114044
oct1171616110
9376554541
10166141000
1185867213
12477824b4
13285609ac
14180cb024
15e8bbe6a
hex9e71c48

166141000 has 128 divisors (see below), whose sum is σ = 427096800. Its totient is φ = 60211200.

The previous prime is 166140973. The next prime is 166141007. The reversal of 166141000 is 141661.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4901796 + 161239204 = 2214^2 + 12698^2 .

It is not an unprimeable number, because it can be changed into a prime (166141007) 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, 492832 + ... + 493168.

Almost surely, 2166141000 is an apocalyptic number.

166141000 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 166141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213548400).

166141000 is an abundant number, since it is smaller than the sum of its proper divisors (260955800).

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

166141000 is a wasteful number, since it uses less digits than its factorization.

166141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 166141000 is about 12889.5694264781. The cubic root of 166141000 is about 549.7420277799.

Adding to 166141000 its reverse (141661), we get a palindrome (166282661).

The spelling of 166141000 in words is "one hundred sixty-six million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 125 136 145 170 200 232 250 290 337 340 425 493 500 580 674 680 725 850 986 1000 1160 1348 1450 1685 1700 1972 2125 2465 2696 2900 3370 3400 3625 3944 4250 4930 5729 5800 6740 7250 8425 8500 9773 9860 11458 12325 13480 14500 16850 17000 19546 19720 22916 24650 28645 29000 33700 39092 42125 45832 48865 49300 57290 61625 67400 78184 84250 97730 98600 114580 123250 143225 166141 168500 195460 229160 244325 246500 286450 332282 337000 390920 488650 493000 572900 664564 716125 830705 977300 1145800 1221625 1329128 1432250 1661410 1954600 2443250 2864500 3322820 4153525 4886500 5729000 6645640 8307050 9773000 16614100 20767625 33228200 41535250 83070500 166141000