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14056460 = 22511181353
BaseRepresentation
bin110101100111…
…110000001100
3222110010211122
4311213300030
512044301320
61221140112
7230322635
oct65476014
928403748
1014056460
117a30910
12485a638
132bb2042
141c1c88c
151379d25
hexd67c0c

14056460 has 48 divisors (see below), whose sum is σ = 32471712. Its totient is φ = 5068800.

The previous prime is 14056459. The next prime is 14056507. The reversal of 14056460 is 6465041.

It is a happy number.

14056460 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 15 ways as a sum of consecutive naturals, for example, 39644 + ... + 39996.

It is an arithmetic number, because the mean of its divisors is an integer number (676494).

Almost surely, 214056460 is an apocalyptic number.

14056460 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 14056460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16235856).

14056460 is an abundant number, since it is smaller than the sum of its proper divisors (18415252).

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

14056460 is a wasteful number, since it uses less digits than its factorization.

14056460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 14056460 is about 3749.1945801732. The cubic root of 14056460 is about 241.3377838344.

The spelling of 14056460 in words is "fourteen million, fifty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 353 362 706 724 905 1412 1765 1810 1991 3530 3620 3883 3982 7060 7766 7964 9955 15532 19415 19910 38830 39820 63893 77660 127786 255572 319465 638930 702823 1277860 1405646 2811292 3514115 7028230 14056460