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14414460 = 22353743151
BaseRepresentation
bin110110111111…
…001001111100
31000010022220220
4312333021330
512142230320
61232541340
7233343444
oct66771174
930108826
1014414460
118155885
1249b1850
132ca8c88
141cb3124
1513eae40
hexdbf27c

14414460 has 96 divisors (see below), whose sum is σ = 42696192. Its totient is φ = 3628800.

The previous prime is 14414459. The next prime is 14414509. The reversal of 14414460 is 6441441.

It is a self number, because there is not a number n which added to its sum of digits gives 14414460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95385 + ... + 95535.

It is an arithmetic number, because the mean of its divisors is an integer number (444752).

Almost surely, 214414460 is an apocalyptic number.

14414460 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 14414460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21348096).

14414460 is an abundant number, since it is smaller than the sum of its proper divisors (28281732).

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

14414460 is a wasteful number, since it uses less digits than its factorization.

14414460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14414460 is about 3796.6379864296. The cubic root of 14414460 is about 243.3694865071.

The spelling of 14414460 in words is "fourteen million, four hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 111 129 148 151 172 185 215 222 258 302 370 430 444 453 516 555 604 645 740 755 860 906 1110 1290 1510 1591 1812 2220 2265 2580 3020 3182 4530 4773 5587 6364 6493 7955 9060 9546 11174 12986 15910 16761 19092 19479 22348 23865 25972 27935 31820 32465 33522 38958 47730 55870 64930 67044 77916 83805 95460 97395 111740 129860 167610 194790 240241 335220 389580 480482 720723 960964 1201205 1441446 2402410 2882892 3603615 4804820 7207230 14414460