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13748040 = 2332538189
BaseRepresentation
bin110100011100…
…011101001000
3221212110202200
4310130131020
512004414130
61210400200
7224566515
oct64343510
927773680
1013748040
117840119
124730060
132b04847
141b7c30c
151318760
hexd1c748

13748040 has 48 divisors (see below), whose sum is σ = 44682300. Its totient is φ = 3666048.

The previous prime is 13748029. The next prime is 13748047. The reversal of 13748040 is 4084731.

It can be written as a sum of positive squares in 2 ways, for example, as 12489156 + 1258884 = 3534^2 + 1122^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13747995 and 13748013.

It is not an unprimeable number, because it can be changed into a prime (13748047) 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 11 ways as a sum of consecutive naturals, for example, 18735 + ... + 19454.

Almost surely, 213748040 is an apocalyptic number.

13748040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13748040 is an abundant number, since it is smaller than the sum of its proper divisors (30934260).

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

13748040 is a wasteful number, since it uses less digits than its factorization.

13748040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38206 (or 38199 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13748040 is about 3707.8349477829. The cubic root of 13748040 is about 239.5596090602.

The spelling of 13748040 in words is "thirteen million, seven hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 38189 76378 114567 152756 190945 229134 305512 343701 381890 458268 572835 687402 763780 916536 1145670 1374804 1527560 1718505 2291340 2749608 3437010 4582680 6874020 13748040