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166063140 = 223251754269
BaseRepresentation
bin10011110010111…
…10110000100100
3102120110212210200
421321132300210
5320003010030
624251150500
74054341045
oct1171366044
9376425720
10166063140
1185813771
1247745430
1328534419
14180aa8cc
15e8a3d60
hex9e5ec24

166063140 has 72 divisors (see below), whose sum is σ = 533365560. Its totient is φ = 41677824.

The previous prime is 166063129. The next prime is 166063147. The reversal of 166063140 is 41360661.

166063140 is a `hidden beast` number, since 16 + 606 + 3 + 1 + 40 = 666.

166063140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 69355584 + 96707556 = 8328^2 + 9834^2 .

It is not an unprimeable number, because it can be changed into a prime (166063147) 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, 24075 + ... + 30194.

It is an arithmetic number, because the mean of its divisors is an integer number (7407855).

Almost surely, 2166063140 is an apocalyptic number.

166063140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166063140 is an abundant number, since it is smaller than the sum of its proper divisors (367302420).

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

166063140 is a wasteful number, since it uses less digits than its factorization.

166063140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54301 (or 54296 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 166063140 is about 12886.5488009785. The cubic root of 166063140 is about 549.6561376777.

The spelling of 166063140 in words is "one hundred sixty-six million, sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 54269 108538 162807 217076 271345 325614 488421 542690 651228 814035 922573 976842 1085380 1628070 1845146 1953684 2442105 2767719 3256140 3690292 4612865 4884210 5535438 8303157 9225730 9768420 11070876 13838595 16606314 18451460 27677190 33212628 41515785 55354380 83031570 166063140