Search a number
-
+
168490125 = 3653432
BaseRepresentation
bin10100000101011…
…11010010001101
3102202001012000000
422002233102031
5321113141000
624415154513
74114066566
oct1202572215
9382035000
10168490125
1187121141
1248515a39
1328ba3ccb
141853d16d
15ebd3000
hexa0af48d

168490125 has 84 divisors (see below), whose sum is σ = 322771644. Its totient is φ = 87771600.

The previous prime is 168490123. The next prime is 168490163. The reversal of 168490125 is 521094861.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

168490125 is a `hidden beast` number, since 168 + 490 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5391684 + 163098441 = 2322^2 + 12771^2 .

It is not a de Polignac number, because 168490125 - 21 = 168490123 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 168490125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168490121) 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 83 ways as a sum of consecutive naturals, for example, 3918354 + ... + 3918396.

Almost surely, 2168490125 is an apocalyptic number.

168490125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

168490125 is a deficient number, since it is larger than the sum of its proper divisors (154281519).

168490125 is an frugal number, since it uses more digits than its factorization.

168490125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 168490125 is about 12980.3746093863. The cubic root of 168490125 is about 552.3209086285.

It can be divided in two parts, 1684 and 90125, that added together give a square (91809 = 3032).

The spelling of 168490125 in words is "one hundred sixty-eight million, four hundred ninety thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 81 125 129 135 215 225 243 375 387 405 645 675 729 1075 1125 1161 1215 1849 1935 2025 3225 3375 3483 3645 5375 5547 5805 6075 9245 9675 10125 10449 16125 16641 17415 18225 27735 29025 30375 31347 46225 48375 49923 52245 83205 87075 91125 138675 145125 149769 156735 231125 249615 261225 416025 435375 449307 693375 748845 783675 1248075 1306125 1347921 2080125 2246535 3744225 3918375 6240375 6739605 11232675 18721125 33698025 56163375 168490125