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13868484 = 22371071543
BaseRepresentation
bin110100111001…
…110111000100
3222002120222120
4310321313010
512022242414
61213125540
7225610620
oct64716704
928076876
1013868484
117912663
1247898b0
132b47606
141bb0180
15133e2a9
hexd39dc4

13868484 has 48 divisors (see below), whose sum is σ = 37352448. Its totient is φ = 3922848.

The previous prime is 13868443. The next prime is 13868497. The reversal of 13868484 is 48486831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 8217 + ... + 9759.

It is an arithmetic number, because the mean of its divisors is an integer number (778176).

Almost surely, 213868484 is an apocalyptic number.

13868484 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 13868484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18676224).

13868484 is an abundant number, since it is smaller than the sum of its proper divisors (23483964).

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

13868484 is a wasteful number, since it uses less digits than its factorization.

13868484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1662 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 13868484 is about 3724.0413531539. The cubic root of 13868484 is about 240.2571549211.

It can be divided in two parts, 1386 and 8484, that added together give a triangular number (9870 = T140).

The spelling of 13868484 in words is "thirteen million, eight hundred sixty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 1543 2247 2996 3086 4494 4629 6172 8988 9258 10801 18516 21602 32403 43204 64806 129612 165101 330202 495303 660404 990606 1155707 1981212 2311414 3467121 4622828 6934242 13868484