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166140414 = 232112513343
BaseRepresentation
bin10011110011100…
…01100111111110
3102120121210210200
421321301213332
5320012443124
624252544330
74055112246
oct1171614776
9376553720
10166140414
1185866830
12477820a6
132856064b
14180cab26
15e8bbbc9
hex9e719fe

166140414 has 48 divisors (see below), whose sum is σ = 394377984. Its totient is φ = 50130000.

The previous prime is 166140413. The next prime is 166140419. The reversal of 166140414 is 414041661.

166140414 is a `hidden beast` number, since 1 + 6 + 614 + 0 + 41 + 4 = 666.

166140414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166140413) 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, 48027 + ... + 51369.

It is an arithmetic number, because the mean of its divisors is an integer number (8216208).

Almost surely, 2166140414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166140414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197188992).

166140414 is an abundant number, since it is smaller than the sum of its proper divisors (228237570).

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

166140414 is a wasteful number, since it uses less digits than its factorization.

166140414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 166140414 is about 12889.5466948997. The cubic root of 166140414 is about 549.7413814429.

The spelling of 166140414 in words is "one hundred sixty-six million, one hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 251 502 753 1506 2259 2761 3343 4518 5522 6686 8283 10029 16566 20058 24849 30087 36773 49698 60174 73546 110319 220638 330957 661914 839093 1678186 2517279 5034558 7551837 9230023 15103674 18460046 27690069 55380138 83070207 166140414