Search a number
-
+
162960040 = 2359914111
BaseRepresentation
bin10011011011010…
…01001010101000
3102100122020011001
421231221022220
5313204210130
624100444344
74016065105
oct1155511250
9370566131
10162960040
1183a94321
12466a96b4
13279b8b79
14178ddaac
15e48e6ca
hex9b692a8

162960040 has 32 divisors (see below), whose sum is σ = 367119360. Its totient is φ = 65102400.

The previous prime is 162960029. The next prime is 162960041. The reversal of 162960040 is 40069261.

It is a junction number, because it is equal to n+sod(n) for n = 162959990 and 162960008.

It is not an unprimeable number, because it can be changed into a prime (162960041) 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 7 ways as a sum of consecutive naturals, for example, 37585 + ... + 41695.

It is an arithmetic number, because the mean of its divisors is an integer number (11472480).

Almost surely, 2162960040 is an apocalyptic number.

162960040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162960040 is an abundant number, since it is smaller than the sum of its proper divisors (204159320).

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

162960040 is a wasteful number, since it uses less digits than its factorization.

162960040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 162960040 is about 12765.5802844994. The cubic root of 162960040 is about 546.2109146822.

The spelling of 162960040 in words is "one hundred sixty-two million, nine hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 991 1982 3964 4111 4955 7928 8222 9910 16444 19820 20555 32888 39640 41110 82220 164440 4074001 8148002 16296004 20370005 32592008 40740010 81480020 162960040