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36027680 = 2551317321
BaseRepresentation
bin1000100101101…
…1110100100000
32111210101200112
42021123310200
533210341210
63324110452
7615141653
oct211336440
974711615
1036027680
1119378147
1210095428
137605770
144adb89a
153269d05
hex225bd20

36027680 has 48 divisors (see below), whose sum is σ = 91668024. Its totient is φ = 13301760.

The previous prime is 36027653. The next prime is 36027689. The reversal of 36027680 is 8672063.

It can be written as a sum of positive squares in 4 ways, for example, as 18421264 + 17606416 = 4292^2 + 4196^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (36027689) 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 7 ways as a sum of consecutive naturals, for example, 6581 + ... + 10740.

Almost surely, 236027680 is an apocalyptic number.

It is an amenable number.

36027680 is an abundant number, since it is smaller than the sum of its proper divisors (55640344).

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

36027680 is a wasteful number, since it uses less digits than its factorization.

36027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17349 (or 17341 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 36027680 is about 6002.3062234445. The cubic root of 36027680 is about 330.2773303815.

The spelling of 36027680 in words is "thirty-six million, twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 17321 34642 69284 86605 138568 173210 225173 277136 346420 450346 554272 692840 900692 1125865 1385680 1801384 2251730 2771360 3602768 4503460 7205536 9006920 18013840 36027680