Search a number
-
+
166342995 = 3257313829
BaseRepresentation
bin10011110101000…
…11000101010011
3102121000002200200
421322203011103
5320040433440
624301150243
74056615000
oct1172430523
9377002620
10166342995
1185994a55
124785b383
1328601910
14181408a7
15e90bc30
hex9ea3153

166342995 has 96 divisors (see below), whose sum is σ = 362544000. Its totient is φ = 70108416.

The previous prime is 166342961. The next prime is 166342997. The reversal of 166342995 is 599243661.

166342995 is a `hidden beast` number, since 1 + 6 + 634 + 2 + 9 + 9 + 5 = 666.

166342995 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166342995 - 27 = 166342867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 166342995.

It is not an unprimeable number, because it can be changed into a prime (166342997) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200241 + ... + 201069.

It is an arithmetic number, because the mean of its divisors is an integer number (3776500).

Almost surely, 2166342995 is an apocalyptic number.

166342995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

166342995 is an abundant number, since it is smaller than the sum of its proper divisors (196201005).

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

166342995 is a wasteful number, since it uses less digits than its factorization.

166342995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 857 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 166342995 is about 12897.4026454942. The cubic root of 166342995 is about 549.9647305207.

The spelling of 166342995 in words is "one hundred sixty-six million, three hundred forty-two thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 343 441 455 585 637 735 819 829 1029 1365 1715 1911 2205 2487 3087 3185 4095 4145 4459 5145 5733 5803 7461 9555 10777 12435 13377 15435 17409 22295 28665 29015 32331 37305 40131 40621 52227 53885 66885 75439 87045 96993 121863 161655 200655 203105 226317 261135 284347 365589 377195 484965 528073 609315 678951 853041 1131585 1421735 1584219 1827945 2559123 2640365 3394755 3696511 4265205 4752657 7921095 11089533 12795615 18482555 23763285 33268599 55447665 166342995