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13889064 = 2337471759
BaseRepresentation
bin110100111110…
…111000101000
3222010122012210
4310332320220
512023422224
61213405120
7226024620
oct64767050
928118183
1013889064
117927072
1247997a0
132b53aa7
141bb7880
151345429
hexd3ee28

13889064 has 64 divisors (see below), whose sum is σ = 40550400. Its totient is φ = 3881664.

The previous prime is 13889063. The next prime is 13889077. The reversal of 13889064 is 46098831.

It is not an unprimeable number, because it can be changed into a prime (13889063) 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 15 ways as a sum of consecutive naturals, for example, 7017 + ... + 8775.

It is an arithmetic number, because the mean of its divisors is an integer number (633600).

Almost surely, 213889064 is an apocalyptic number.

13889064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13889064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275200).

13889064 is an abundant number, since it is smaller than the sum of its proper divisors (26661336).

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

13889064 is a wasteful number, since it uses less digits than its factorization.

13889064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 13889064 is about 3726.8034560465. The cubic root of 13889064 is about 240.3759385960.

The spelling of 13889064 in words is "thirteen million, eight hundred eighty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1759 1974 2632 3518 3948 5277 7036 7896 10554 12313 14072 21108 24626 36939 42216 49252 73878 82673 98504 147756 165346 248019 295512 330692 496038 578711 661384 992076 1157422 1736133 1984152 2314844 3472266 4629688 6944532 13889064