Search a number
-
+
36056313 = 332116329
BaseRepresentation
bin1000100110001…
…0110011111001
32111211211222000
42021202303321
533212300223
63324451213
7615321306
oct211426371
974754860
1036056313
1119397707
12100a9b09
1376157c7
144b080ad
153273543
hex2262cf9

36056313 has 16 divisors (see below), whose sum is σ = 53678400. Its totient is φ = 23919840.

The previous prime is 36056263. The next prime is 36056323. The reversal of 36056313 is 31365063.

36056313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36056313 - 28 = 36056057 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36056323) 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 15 ways as a sum of consecutive naturals, for example, 2533 + ... + 8861.

It is an arithmetic number, because the mean of its divisors is an integer number (3354900).

Almost surely, 236056313 is an apocalyptic number.

36056313 is the 3798-th heptagonal number.

It is an amenable number.

36056313 is a deficient number, since it is larger than the sum of its proper divisors (17622087).

36056313 is a wasteful number, since it uses less digits than its factorization.

36056313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 36056313 is about 6004.6909162754. The cubic root of 36056313 is about 330.3648031861.

The spelling of 36056313 in words is "thirty-six million, fifty-six thousand, three hundred thirteen".

Divisors: 1 3 9 27 211 633 1899 5697 6329 18987 56961 170883 1335419 4006257 12018771 36056313