Search a number
-
+
13983945 = 3517293161
BaseRepresentation
bin110101010110…
…000011001001
3222022110100220
4311112003021
512034441240
61215420253
7226601343
oct65260311
928273326
1013983945
117991388
124824689
132b88031
141c00293
1513635d0
hexd560c9

13983945 has 64 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 6451200.

The previous prime is 13983941. The next prime is 13983967. The reversal of 13983945 is 54938931.

It is not a de Polignac number, because 13983945 - 22 = 13983941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13983897 and 13983906.

It is not an unprimeable number, because it can be changed into a prime (13983941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229215 + ... + 229275.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 213983945 is an apocalyptic number.

13983945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13983945 is a deficient number, since it is larger than the sum of its proper divisors (11728695).

13983945 is a wasteful number, since it uses less digits than its factorization.

13983945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its digits is 116640, while the sum is 42.

The square root of 13983945 is about 3739.5113317117. The cubic root of 13983945 is about 240.9220606198.

The spelling of 13983945 in words is "thirteen million, nine hundred eighty-three thousand, nine hundred forty-five".

Divisors: 1 3 5 15 17 29 31 51 61 85 87 93 145 155 183 255 305 435 465 493 527 899 915 1037 1479 1581 1769 1891 2465 2635 2697 3111 4495 5185 5307 5673 7395 7905 8845 9455 13485 15283 15555 26535 28365 30073 32147 45849 54839 76415 90219 96441 150365 160735 164517 229245 274195 451095 482205 822585 932263 2796789 4661315 13983945