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13939065 = 32571719137
BaseRepresentation
bin110101001011…
…000101111001
3222020011210200
4311023011321
512032022230
61214432413
7226323450
oct65130571
928204720
1013939065
117960698
124802709
132b7078a
141bcbb97
151355160
hexd4b179

13939065 has 96 divisors (see below), whose sum is σ = 31000320. Its totient is φ = 5640192.

The previous prime is 13938983. The next prime is 13939069. The reversal of 13939065 is 56093931.

It is not a de Polignac number, because 13939065 - 29 = 13938553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13939069) 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 95 ways as a sum of consecutive naturals, for example, 101677 + ... + 101813.

It is an arithmetic number, because the mean of its divisors is an integer number (322920).

Almost surely, 213939065 is an apocalyptic number.

13939065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13939065 is an abundant number, since it is smaller than the sum of its proper divisors (17061255).

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

13939065 is a wasteful number, since it uses less digits than its factorization.

13939065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 13939065 is about 3733.5057251865. The cubic root of 13939065 is about 240.6640463987.

It can be divided in two parts, 139 and 39065, that added together give a square (39204 = 1982).

The spelling of 13939065 in words is "thirteen million, nine hundred thirty-nine thousand, sixty-five".

Divisors: 1 3 5 7 9 15 17 19 21 35 45 51 57 63 85 95 105 119 133 137 153 171 255 285 315 323 357 399 411 595 665 685 765 855 959 969 1071 1197 1233 1615 1785 1995 2055 2261 2329 2603 2877 2907 4795 4845 5355 5985 6165 6783 6987 7809 8631 11305 11645 13015 14385 14535 16303 18221 20349 20961 23427 33915 34935 39045 43155 44251 48909 54663 81515 91105 101745 104805 117135 132753 146727 163989 221255 244545 273315 309757 398259 663765 733635 819945 929271 1548785 1991295 2787813 4646355 13939065