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13889184 = 253149971
BaseRepresentation
bin110100111110…
…111010100000
3222010122101020
4310332322200
512023423214
61213405440
7226025151
oct64767240
928118336
1013889184
117927171
124799880
132b53b6a
141bb7928
1513454a9
hexd3eea0

13889184 has 48 divisors (see below), whose sum is σ = 36741600. Its totient is φ = 4593920.

The previous prime is 13889179. The next prime is 13889189. The reversal of 13889184 is 48198831.

It is an interprime number because it is at equal distance from previous prime (13889179) and next prime (13889189).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13889189) 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 7 ways as a sum of consecutive naturals, for example, 13819 + ... + 14789.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 213889184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13889184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370800).

13889184 is an abundant number, since it is smaller than the sum of its proper divisors (22852416).

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

13889184 is a wasteful number, since it uses less digits than its factorization.

13889184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1125 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 13889184 is about 3726.8195555997. The cubic root of 13889184 is about 240.3766308680.

The spelling of 13889184 in words is "thirteen million, eight hundred eighty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 971 1192 1788 1942 2384 2913 3576 3884 4768 5826 7152 7768 11652 14304 15536 23304 31072 46608 93216 144679 289358 434037 578716 868074 1157432 1736148 2314864 3472296 4629728 6944592 13889184