Search a number
-
+
13783965 = 351370687
BaseRepresentation
bin110100100101…
…001110011101
3221221022001020
4310211032131
512012041330
61211234353
7225106326
oct64451635
927838036
1013783965
117865108
1247489b9
132b17cc0
141b8b44d
151324210
hexd2539d

13783965 has 16 divisors (see below), whose sum is σ = 23751168. Its totient is φ = 6785856.

The previous prime is 13783963. The next prime is 13783967. The reversal of 13783965 is 56938731.

It is an interprime number because it is at equal distance from previous prime (13783963) and next prime (13783967).

It is not a de Polignac number, because 13783965 - 21 = 13783963 is a prime.

It is a super-2 number, since 2×137839652 = 379995382242450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13783963) 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 15 ways as a sum of consecutive naturals, for example, 35149 + ... + 35538.

It is an arithmetic number, because the mean of its divisors is an integer number (1484448).

Almost surely, 213783965 is an apocalyptic number.

13783965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13783965 is a deficient number, since it is larger than the sum of its proper divisors (9967203).

13783965 is a wasteful number, since it uses less digits than its factorization.

13783965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70708.

The product of its digits is 136080, while the sum is 42.

The square root of 13783965 is about 3712.6762584421. The cubic root of 13783965 is about 239.7680919555.

The spelling of 13783965 in words is "thirteen million, seven hundred eighty-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 13 15 39 65 195 70687 212061 353435 918931 1060305 2756793 4594655 13783965