Search a number
-
+
40778160 = 2435169909
BaseRepresentation
bin1001101110001…
…1100110110000
32211201202010020
42123203212300
540414400120
64014003440
71003415523
oct233434660
984652106
1040778160
1121022265
12117a6580
1385a9ab7
1455b6bba
1538a7640
hex26e39b0

40778160 has 40 divisors (see below), whose sum is σ = 126413040. Its totient is φ = 10874112.

The previous prime is 40778159. The next prime is 40778173. The reversal of 40778160 is 6187704.

40778160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 84715 + ... + 85194.

It is an arithmetic number, because the mean of its divisors is an integer number (3160326).

Almost surely, 240778160 is an apocalyptic number.

40778160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40778160 is an abundant number, since it is smaller than the sum of its proper divisors (85634880).

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

40778160 is a wasteful number, since it uses less digits than its factorization.

40778160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169925 (or 169919 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 40778160 is about 6385.7779479089. Note that the first 3 decimals coincide. The cubic root of 40778160 is about 344.1986863751.

The spelling of 40778160 in words is "forty million, seven hundred seventy-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 169909 339818 509727 679636 849545 1019454 1359272 1699090 2038908 2548635 2718544 3398180 4077816 5097270 6796360 8155632 10194540 13592720 20389080 40778160