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36864040 = 235921601
BaseRepresentation
bin1000110010100…
…0000000101000
32120100212221211
42030220000220
533414122130
63354042504
7625224223
oct214500050
976325854
1036864040
1119899554
1210419434
137839355
144c785ba
153382a2a
hex2328028

36864040 has 16 divisors (see below), whose sum is σ = 82944180. Its totient is φ = 14745600.

The previous prime is 36864031. The next prime is 36864073. The reversal of 36864040 is 4046863.

It can be written as a sum of positive squares in 2 ways, for example, as 33200644 + 3663396 = 5762^2 + 1914^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36863993 and 36864011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 460761 + ... + 460840.

Almost surely, 236864040 is an apocalyptic number.

It is an amenable number.

36864040 is an abundant number, since it is smaller than the sum of its proper divisors (46080140).

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

36864040 is a wasteful number, since it uses less digits than its factorization.

36864040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921612 (or 921608 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 36864040 is about 6071.5764015616. The cubic root of 36864040 is about 332.8135320635.

It can be divided in two parts, 368640 and 40, that multiplied together give a square (14745600 = 38402).

The spelling of 36864040 in words is "thirty-six million, eight hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 921601 1843202 3686404 4608005 7372808 9216010 18432020 36864040