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36117018 = 2327240949
BaseRepresentation
bin1000100111000…
…1101000011010
32111221221020100
42021301220122
533221221033
63330040230
7615663300
oct211615032
974857210
1036117018
1119429283
1210119076
137637322
144b22270
153286513
hex2271a1a

36117018 has 36 divisors (see below), whose sum is σ = 91031850. Its totient is φ = 10318896.

The previous prime is 36117007. The next prime is 36117019. The reversal of 36117018 is 81071163.

It can be written as a sum of positive squares in only one way, i.e., 31438449 + 4678569 = 5607^2 + 2163^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36116982 and 36117000.

It is not an unprimeable number, because it can be changed into a prime (36117019) 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 17 ways as a sum of consecutive naturals, for example, 19593 + ... + 21356.

Almost surely, 236117018 is an apocalyptic number.

36117018 is an abundant number, since it is smaller than the sum of its proper divisors (54914832).

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

36117018 is a wasteful number, since it uses less digits than its factorization.

36117018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40971 (or 40961 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 36117018 is about 6009.7435885402. The cubic root of 36117018 is about 330.5501017683.

The spelling of 36117018 in words is "thirty-six million, one hundred seventeen thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 40949 81898 122847 245694 286643 368541 573286 737082 859929 1719858 2006501 2579787 4013002 5159574 6019503 12039006 18058509 36117018