Search a number
-
+
162540018 = 2329030001
BaseRepresentation
bin10011011000000…
…10100111110010
3102022211212222200
421230002213302
5313102240033
624043444030
74012365414
oct1154024762
9368755880
10162540018
11838277a3
1246526616
132789c934
14178309b4
15e40a013
hex9b029f2

162540018 has 12 divisors (see below), whose sum is σ = 352170078. Its totient is φ = 54180000.

The previous prime is 162539989. The next prime is 162540019. The reversal of 162540018 is 810045261.

It can be written as a sum of positive squares in only one way, i.e., 160959969 + 1580049 = 12687^2 + 1257^2 .

It is a junction number, because it is equal to n+sod(n) for n = 162539973 and 162540000.

It is not an unprimeable number, because it can be changed into a prime (162540019) 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 5 ways as a sum of consecutive naturals, for example, 4514983 + ... + 4515018.

Almost surely, 2162540018 is an apocalyptic number.

162540018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

162540018 is an abundant number, since it is smaller than the sum of its proper divisors (189630060).

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

162540018 is a wasteful number, since it uses less digits than its factorization.

162540018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9030009 (or 9030006 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 162540018 is about 12749.1183224567. The cubic root of 162540018 is about 545.7412330953.

Adding to 162540018 its reverse (810045261), we get a palindrome (972585279).

The spelling of 162540018 in words is "one hundred sixty-two million, five hundred forty thousand, eighteen".

Divisors: 1 2 3 6 9 18 9030001 18060002 27090003 54180006 81270009 162540018