Search a number
-
+
36400716 = 22321191921
BaseRepresentation
bin1000101011011…
…0111001001100
32112111100101200
42022312321030
533304310331
63340105500
7621254352
oct212667114
975440350
1036400716
1119602440
1210235290
1377064b1
144b977d2
1532e05e6
hex22b6e4c

36400716 has 36 divisors (see below), whose sum is σ = 100378824. Its totient is φ = 11030400.

The previous prime is 36400691. The next prime is 36400739. The reversal of 36400716 is 61700463.

36400716 is a `hidden beast` number, since 3 + 640 + 0 + 7 + 16 = 666.

36400716 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36400716.

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 11 ways as a sum of consecutive naturals, for example, 45565 + ... + 46356.

Almost surely, 236400716 is an apocalyptic number.

36400716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36400716 is an abundant number, since it is smaller than the sum of its proper divisors (63978108).

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

36400716 is a wasteful number, since it uses less digits than its factorization.

36400716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91942 (or 91937 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36400716 is about 6033.3005892297. The cubic root of 36400716 is about 331.4133322434.

The spelling of 36400716 in words is "thirty-six million, four hundred thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 91921 183842 275763 367684 551526 827289 1011131 1103052 1654578 2022262 3033393 3309156 4044524 6066786 9100179 12133572 18200358 36400716