Search a number
-
+
14386860 = 22325257311
BaseRepresentation
bin110110111000…
…011010101100
31000001221001200
4312320122230
512140334420
61232205500
7233200125
oct66703254
930057050
1014386860
118137074
124999890
132c99547
141ca704c
1513e2b90
hexdb86ac

14386860 has 72 divisors (see below), whose sum is σ = 43950816. Its totient is φ = 3809280.

The previous prime is 14386837. The next prime is 14386873. The reversal of 14386860 is 6868341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 46105 + ... + 46415.

It is an arithmetic number, because the mean of its divisors is an integer number (610428).

Almost surely, 214386860 is an apocalyptic number.

14386860 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 14386860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21975408).

14386860 is an abundant number, since it is smaller than the sum of its proper divisors (29563956).

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

14386860 is a wasteful number, since it uses less digits than its factorization.

14386860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14386860 is about 3793.0014500393. The cubic root of 14386860 is about 243.2140571789.

The spelling of 14386860 in words is "fourteen million, three hundred eighty-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 311 514 622 771 933 1028 1244 1285 1542 1555 1866 2313 2570 2799 3084 3110 3732 3855 4626 4665 5140 5598 6220 7710 9252 9330 11196 11565 13995 15420 18660 23130 27990 46260 55980 79927 159854 239781 319708 399635 479562 719343 799270 959124 1198905 1438686 1598540 2397810 2877372 3596715 4795620 7193430 14386860