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13889280 = 28353617
BaseRepresentation
bin110100111110…
…111100000000
3222010122111210
4310332330000
512023424110
61213410120
7226025346
oct64767400
928118453
1013889280
117927249
124799940
132b53c12
141bb7996
151345520
hexd3ef00

13889280 has 72 divisors (see below), whose sum is σ = 44371152. Its totient is φ = 3702784.

The previous prime is 13889279. The next prime is 13889321. The reversal of 13889280 is 8298831.

13889280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2032 + ... + 5648.

It is an arithmetic number, because the mean of its divisors is an integer number (616266).

Almost surely, 213889280 is an apocalyptic number.

13889280 is a gapful number since it is divisible by the number (10) 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 13889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185576).

13889280 is an abundant number, since it is smaller than the sum of its proper divisors (30481872).

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

13889280 is an equidigital number, since it uses as much as digits as its factorization.

13889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 13889280 is about 3726.8324351921. The cubic root of 13889280 is about 240.3771846827.

The spelling of 13889280 in words is "thirteen million, eight hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3617 3840 7234 10851 14468 18085 21702 28936 36170 43404 54255 57872 72340 86808 108510 115744 144680 173616 217020 231488 289360 347232 434040 462976 578720 694464 868080 925952 1157440 1388928 1736160 2314880 2777856 3472320 4629760 6944640 13889280