Search a number
-
+
13374945 = 3252937277
BaseRepresentation
bin110011000001…
…010111100001
3221011111222100
4303001113201
511410444240
61154401013
7221454003
oct63012741
927144870
1013374945
117605881
124590169
132a03a8c
141ac2373
151292e30
hexcc15e1

13374945 has 48 divisors (see below), whose sum is σ = 24719760. Its totient is φ = 6676992.

The previous prime is 13374941. The next prime is 13374947. The reversal of 13374945 is 54947331.

It can be written as a sum of positive squares in 8 ways, for example, as 1296 + 13373649 = 36^2 + 3657^2 .

It is not a de Polignac number, because 13374945 - 22 = 13374941 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13374941) 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 47 ways as a sum of consecutive naturals, for example, 48147 + ... + 48423.

It is an arithmetic number, because the mean of its divisors is an integer number (514995).

Almost surely, 213374945 is an apocalyptic number.

13374945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13374945 is a deficient number, since it is larger than the sum of its proper divisors (11344815).

13374945 is a wasteful number, since it uses less digits than its factorization.

13374945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 351 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 13374945 is about 3657.1771901290. The cubic root of 13374945 is about 237.3726445547.

It can be divided in two parts, 133 and 74945, that added together give a triangular number (75078 = T387).

The spelling of 13374945 in words is "thirteen million, three hundred seventy-four thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 29 37 45 87 111 145 185 261 277 333 435 555 831 1073 1305 1385 1665 2493 3219 4155 5365 8033 9657 10249 12465 16095 24099 30747 40165 48285 51245 72297 92241 120495 153735 297221 361485 461205 891663 1486105 2674989 4458315 13374945