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13894384 = 247131947
BaseRepresentation
bin110101000000…
…001011110000
3222010220111211
4311000023300
512024110014
61213445504
7226046260
oct65001360
928126454
1013894384
117930069
1247a0894
132b5633a
141bb97a0
151346cc4
hexd402f0

13894384 has 40 divisors (see below), whose sum is σ = 31033728. Its totient is φ = 5903040.

The previous prime is 13894381. The next prime is 13894429. The reversal of 13894384 is 48349831.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13894381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14199 + ... + 15145.

Almost surely, 213894384 is an apocalyptic number.

13894384 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 13894384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15516864).

13894384 is an abundant number, since it is smaller than the sum of its proper divisors (17139344).

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

13894384 is a wasteful number, since it uses less digits than its factorization.

13894384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 13894384 is about 3727.5171361108. The cubic root of 13894384 is about 240.4066254912.

The spelling of 13894384 in words is "thirteen million, eight hundred ninety-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 947 1048 1834 1894 2096 3668 3788 6629 7336 7576 13258 14672 15152 26516 53032 106064 124057 248114 496228 868399 992456 1736798 1984912 3473596 6947192 13894384