Search a number
-
+
13475440 = 2451115313
BaseRepresentation
bin110011011001…
…111001110000
3221100121211101
4303121321300
511422203230
61200454144
7222352666
oct63317160
927317741
1013475440
117674330
12461a354
132a3a744
141b0ac36
1512b2aca
hexcd9e70

13475440 has 40 divisors (see below), whose sum is σ = 34180848. Its totient is φ = 4899840.

The previous prime is 13475431. The next prime is 13475443. The reversal of 13475440 is 4457431.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13475399 and 13475408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13475443) 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 7 ways as a sum of consecutive naturals, for example, 6777 + ... + 8536.

Almost surely, 213475440 is an apocalyptic number.

13475440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13475440 is an abundant number, since it is smaller than the sum of its proper divisors (20705408).

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

13475440 is a wasteful number, since it uses less digits than its factorization.

13475440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15337 (or 15331 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 13475440 is about 3670.8909000405. The cubic root of 13475440 is about 237.9656754397.

Subtracting from 13475440 its reverse (4457431), we obtain a square (9018009 = 30032).

The spelling of 13475440 in words is "thirteen million, four hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 15313 30626 61252 76565 122504 153130 168443 245008 306260 336886 612520 673772 842215 1225040 1347544 1684430 2695088 3368860 6737720 13475440