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13864240 = 2451313331
BaseRepresentation
bin110100111000…
…110100110000
3222002101011101
4310320310300
512022123430
61213054144
7225562345
oct64706460
928071141
1013864240
11790a455
124787354
132b456c0
141bac7cc
15133cdca
hexd38d30

13864240 has 40 divisors (see below), whose sum is σ = 34716528. Its totient is φ = 5118720.

The previous prime is 13864229. The next prime is 13864247. The reversal of 13864240 is 4246831.

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 = 13864199 and 13864208.

It is not an unprimeable number, because it can be changed into a prime (13864247) 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, 5626 + ... + 7705.

Almost surely, 213864240 is an apocalyptic number.

13864240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13864240 is an abundant number, since it is smaller than the sum of its proper divisors (20852288).

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

13864240 is a wasteful number, since it uses less digits than its factorization.

13864240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13357 (or 13351 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 13864240 is about 3723.4714984810. The cubic root of 13864240 is about 240.2326447825.

The spelling of 13864240 in words is "thirteen million, eight hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 13331 26662 53324 66655 106648 133310 173303 213296 266620 346606 533240 693212 866515 1066480 1386424 1733030 2772848 3466060 6932120 13864240