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166040364 = 223710119571
BaseRepresentation
bin10011110010110…
…01001100101100
3102120102201120010
421321121030230
5320001242424
624250453220
74054214460
oct1171311454
9376381503
10166040364
11857a8646
1247734210
1328526c49
14180a24a0
15e89c229
hex9e5932c

166040364 has 48 divisors (see below), whose sum is σ = 447181056. Its totient is φ = 46968000.

The previous prime is 166040363. The next prime is 166040389. The reversal of 166040364 is 463040661.

166040364 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 (166040363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302 + ... + 18269.

It is an arithmetic number, because the mean of its divisors is an integer number (9316272).

Almost surely, 2166040364 is an apocalyptic number.

166040364 is a gapful number since it is divisible by the number (14) 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 166040364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223590528).

166040364 is an abundant number, since it is smaller than the sum of its proper divisors (281140692).

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

166040364 is a wasteful number, since it uses less digits than its factorization.

166040364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19686 (or 19684 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 166040364 is about 12885.6650585059. The cubic root of 166040364 is about 549.6310075965.

It can be divided in two parts, 1660 and 40364, that added together give a palindrome (42024).

The spelling of 166040364 in words is "one hundred sixty-six million, forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 4242 8484 19571 39142 58713 78284 117426 136997 234852 273994 410991 547988 821982 1643964 1976671 3953342 5930013 7906684 11860026 13836697 23720052 27673394 41510091 55346788 83020182 166040364