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36985965 = 3517145043
BaseRepresentation
bin1000110100010…
…1110001101101
32120121002012120
42031011301231
533432022330
63400423153
7626242542
oct215056155
976532176
1036985965
1119972115
1210477ab9
13787c9b3
144caabc9
1533a8c10
hex2345c6d

36985965 has 16 divisors (see below), whose sum is σ = 62659008. Its totient is φ = 18565376.

The previous prime is 36985957. The next prime is 36985981. The reversal of 36985965 is 56958963.

36985965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 36985965 - 23 = 36985957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72267 + ... + 72776.

It is an arithmetic number, because the mean of its divisors is an integer number (3916188).

Almost surely, 236985965 is an apocalyptic number.

It is an amenable number.

36985965 is a deficient number, since it is larger than the sum of its proper divisors (25673043).

36985965 is a wasteful number, since it uses less digits than its factorization.

36985965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145068.

The product of its digits is 1749600, while the sum is 51.

The square root of 36985965 is about 6081.6087509803. The cubic root of 36985965 is about 333.1800467427.

It can be divided in two parts, 36985 and 965, that added together give a triangular number (37950 = T275).

The spelling of 36985965 in words is "thirty-six million, nine hundred eighty-five thousand, nine hundred sixty-five".

Divisors: 1 3 5 15 17 51 85 255 145043 435129 725215 2175645 2465731 7397193 12328655 36985965