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13675240 = 2352911789
BaseRepresentation
bin110100001010…
…101011101000
3221201202220101
4310022223220
512000101430
61205035144
7224144335
oct64125350
927652811
1013675240
1177a0457
1246b5ab4
132aaa677
141b5d98c
151301dca
hexd0aae8

13675240 has 32 divisors (see below), whose sum is σ = 31833000. Its totient is φ = 5281024.

The previous prime is 13675223. The next prime is 13675241. The reversal of 13675240 is 4257631.

It can be written as a sum of positive squares in 4 ways, for example, as 7193124 + 6482116 = 2682^2 + 2546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13675199 and 13675208.

It is not an unprimeable number, because it can be changed into a prime (13675241) 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 7 ways as a sum of consecutive naturals, for example, 4735 + ... + 7054.

Almost surely, 213675240 is an apocalyptic number.

13675240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13675240 is an abundant number, since it is smaller than the sum of its proper divisors (18157760).

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

13675240 is a wasteful number, since it uses less digits than its factorization.

13675240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11829 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 13675240 is about 3698.0048674927. The cubic root of 13675240 is about 239.1360138020.

The spelling of 13675240 in words is "thirteen million, six hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 11789 23578 47156 58945 94312 117890 235780 341881 471560 683762 1367524 1709405 2735048 3418810 6837620 13675240