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166041000 = 23325319971
BaseRepresentation
bin10011110010110…
…01010110101000
3102120102202102200
421321121112220
5320001303000
624250500200
74054216356
oct1171312650
9376382380
10166041000
11857a9074
1247734660
1328527318
14180a27d6
15e89c500
hex9e595a8

166041000 has 192 divisors, whose sum is σ = 591364800. Its totient is φ = 41904000.

The previous prime is 166040993. The next prime is 166041013. The reversal of 166041000 is 140661.

166041000 is a `hidden beast` number, since 1 + 660 + 4 + 1 + 0 + 0 + 0 = 666.

166041000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1660410002 = 55139227362000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170515 + ... + 171485.

It is an arithmetic number, because the mean of its divisors is an integer number (3080025).

Almost surely, 2166041000 is an apocalyptic number.

166041000 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 166041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295682400).

166041000 is an abundant number, since it is smaller than the sum of its proper divisors (425323800).

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

166041000 is a wasteful number, since it uses less digits than its factorization.

166041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 166041000 is about 12885.6897370688. The cubic root of 166041000 is about 549.6317093634.

Adding to 166041000 its reverse (140661), we get a palindrome (166181661).

The spelling of 166041000 in words is "one hundred sixty-six million, forty-one thousand".