Search a number
-
+
168141435 = 35711145577
BaseRepresentation
bin10100000010110…
…10001001111011
3102201101110200120
422001122021323
5321021011220
624403504323
74111115160
oct1201321173
9381343616
10168141435
1186a03170
12483880a3
1328ab1397
141848c067
15eb64a40
hexa05a27b

168141435 has 32 divisors (see below), whose sum is σ = 335411712. Its totient is φ = 69876480.

The previous prime is 168141433. The next prime is 168141439. The reversal of 168141435 is 534141861.

It is not a de Polignac number, because 168141435 - 21 = 168141433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 168141396 and 168141405.

It is not an unprimeable number, because it can be changed into a prime (168141433) 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 31 ways as a sum of consecutive naturals, for example, 71634 + ... + 73943.

It is an arithmetic number, because the mean of its divisors is an integer number (10481616).

Almost surely, 2168141435 is an apocalyptic number.

168141435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

168141435 is a deficient number, since it is larger than the sum of its proper divisors (167270277).

168141435 is a wasteful number, since it uses less digits than its factorization.

168141435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145603.

The product of its digits is 11520, while the sum is 33.

The square root of 168141435 is about 12966.9362225624. The cubic root of 168141435 is about 551.9396364627.

The spelling of 168141435 in words is "one hundred sixty-eight million, one hundred forty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 145577 436731 727885 1019039 1601347 2183655 3057117 4804041 5095195 8006735 11209429 15285585 24020205 33628287 56047145 168141435