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14411920 = 2451710597
BaseRepresentation
bin110110111110…
…100010010000
31000010012102211
4312332202100
512142140140
61232521504
7233333155
oct66764220
930105384
1014411920
118153986
1249b0294
132ca7a83
141cb222c
1513ea2ea
hexdbe890

14411920 has 40 divisors (see below), whose sum is σ = 35482104. Its totient is φ = 5425152.

The previous prime is 14411911. The next prime is 14411941. The reversal of 14411920 is 2911441.

14411920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 394384 + 14017536 = 628^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14411891 and 14411900.

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, 3939 + ... + 6658.

Almost surely, 214411920 is an apocalyptic number.

14411920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14411920 is an abundant number, since it is smaller than the sum of its proper divisors (21070184).

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

14411920 is a wasteful number, since it uses less digits than its factorization.

14411920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10627 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 14411920 is about 3796.3034652145. The cubic root of 14411920 is about 243.3551907974.

The spelling of 14411920 in words is "fourteen million, four hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 10597 21194 42388 52985 84776 105970 169552 180149 211940 360298 423880 720596 847760 900745 1441192 1801490 2882384 3602980 7205960 14411920