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20113965 = 3252915413
BaseRepresentation
bin100110010111…
…0101000101101
31101211220011200
41030232220231
520122121330
61555040113
7332652204
oct114565055
941756150
1020113965
1110398a13
1268a0039
134223271
14295823b
151b74a60
hex132ea2d

20113965 has 24 divisors (see below), whose sum is σ = 36068760. Its totient is φ = 10356864.

The previous prime is 20113963. The next prime is 20113993. The reversal of 20113965 is 56931102.

It can be written as a sum of positive squares in 4 ways, for example, as 5322249 + 14791716 = 2307^2 + 3846^2 .

It is not a de Polignac number, because 20113965 - 21 = 20113963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20113963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6402 + ... + 9011.

It is an arithmetic number, because the mean of its divisors is an integer number (1502865).

Almost surely, 220113965 is an apocalyptic number.

It is an amenable number.

20113965 is a deficient number, since it is larger than the sum of its proper divisors (15954795).

20113965 is a wasteful number, since it uses less digits than its factorization.

20113965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15453 (or 15450 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 20113965 is about 4484.8595295728. The cubic root of 20113965 is about 271.9563664509.

The spelling of 20113965 in words is "twenty million, one hundred thirteen thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 15413 46239 77065 138717 231195 446977 693585 1340931 2234885 4022793 6704655 20113965