Search a number
-
+
14379920 = 245179749
BaseRepresentation
bin110110110110…
…101110010000
31000001120112122
4312312232100
512140124140
61232113412
7233140652
oct66665620
930046478
1014379920
118131935
124995868
132c96339
141ca46d2
1513e0ab5
hexdb6b90

14379920 has 20 divisors (see below), whose sum is σ = 33433500. Its totient is φ = 5751936.

The previous prime is 14379863. The next prime is 14379929. The reversal of 14379920 is 2997341.

It can be written as a sum of positive squares in 2 ways, for example, as 4545424 + 9834496 = 2132^2 + 3136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (14379929) 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 3 ways as a sum of consecutive naturals, for example, 89795 + ... + 89954.

It is an arithmetic number, because the mean of its divisors is an integer number (1671675).

Almost surely, 214379920 is an apocalyptic number.

14379920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14379920 is an abundant number, since it is smaller than the sum of its proper divisors (19053580).

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

14379920 is a wasteful number, since it uses less digits than its factorization.

14379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179762 (or 179756 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 14379920 is about 3792.0864969038. The cubic root of 14379920 is about 243.1749433153.

The spelling of 14379920 in words is "fourteen million, three hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179749 359498 718996 898745 1437992 1797490 2875984 3594980 7189960 14379920