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13987120 = 245724977
BaseRepresentation
bin110101010110…
…110100110000
3222022121201111
4311112310300
512040041440
61215443104
7226613530
oct65266460
928277644
1013987120
117993804
124826494
132b89604
141c014c0
1513644ea
hexd56d30

13987120 has 40 divisors (see below), whose sum is σ = 37167264. Its totient is φ = 4795392.

The previous prime is 13987111. The next prime is 13987139. The reversal of 13987120 is 2178931.

13987120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11929 + ... + 13048.

Almost surely, 213987120 is an apocalyptic number.

13987120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13987120 is an abundant number, since it is smaller than the sum of its proper divisors (23180144).

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

13987120 is a wasteful number, since it uses less digits than its factorization.

13987120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24997 (or 24991 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 13987120 is about 3739.9358283265. The cubic root of 13987120 is about 240.9402927104.

The spelling of 13987120 in words is "thirteen million, nine hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 24977 49954 99908 124885 174839 199816 249770 349678 399632 499540 699356 874195 999080 1398712 1748390 1998160 2797424 3496780 6993560 13987120