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36369045 = 325292312
BaseRepresentation
bin1000101010111…
…1001010010101
32112102201221200
42022233022111
533302302140
63335303113
7621063126
oct212571225
975381850
1036369045
1119590669
121021aa99
1376c4c5b
144b8a04d
1532d6030
hex22af295

36369045 has 54 divisors (see below), whose sum is σ = 67462434. Its totient is φ = 18123840.

The previous prime is 36369043. The next prime is 36369061. The reversal of 36369045 is 54096363.

36369045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4186116 + 32182929 = 2046^2 + 5673^2 .

It is not a de Polignac number, because 36369045 - 21 = 36369043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36369043) 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 53 ways as a sum of consecutive naturals, for example, 1173180 + ... + 1173210.

Almost surely, 236369045 is an apocalyptic number.

It is an amenable number.

36369045 is a deficient number, since it is larger than the sum of its proper divisors (31093389).

36369045 is a wasteful number, since it uses less digits than its factorization.

36369045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 36369045 is about 6030.6753353169. The cubic root of 36369045 is about 331.3171872734.

Multiplying 36369045 by its product of nonzero digits (58320), we get a square (2121042704400 = 14563802).

The spelling of 36369045 in words is "thirty-six million, three hundred sixty-nine thousand, forty-five".

Divisors: 1 3 5 9 15 29 31 45 87 93 145 155 261 279 435 465 841 899 961 1305 1395 2523 2697 2883 4205 4495 4805 7569 8091 8649 12615 13485 14415 26071 27869 37845 40455 43245 78213 83607 130355 139345 234639 250821 391065 418035 808201 1173195 1254105 2424603 4041005 7273809 12123015 36369045