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36264105 = 3659949
BaseRepresentation
bin1000101001010…
…1100010101001
32112020102000000
42022111202221
533240422410
63333133213
7620145153
oct212254251
975212000
1036264105
1119519839
121018a209
137689267
144b5dad3
1532b4dc0
hex22958a9

36264105 has 28 divisors (see below), whose sum is σ = 65252100. Its totient is φ = 19338912.

The previous prime is 36264101. The next prime is 36264113. The reversal of 36264105 is 50146263.

It can be written as a sum of positive squares in 2 ways, for example, as 13682601 + 22581504 = 3699^2 + 4752^2 .

It is not a de Polignac number, because 36264105 - 22 = 36264101 is a prime.

It is a super-2 number, since 2×362641052 = 2630170622902050, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36264101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1330 + ... + 8619.

Almost surely, 236264105 is an apocalyptic number.

It is an amenable number.

36264105 is a deficient number, since it is larger than the sum of its proper divisors (28987995).

36264105 is an frugal number, since it uses more digits than its factorization.

36264105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36264105 is about 6021.9685319669. The cubic root of 36264105 is about 330.9982171175.

The spelling of 36264105 in words is "thirty-six million, two hundred sixty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 9949 29847 49745 89541 149235 268623 447705 805869 1343115 2417607 4029345 7252821 12088035 36264105