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14061440 = 275127173
BaseRepresentation
bin110101101000…
…111110000000
3222110101200002
4311220332000
512044431230
61221215132
7230343311
oct65507600
928411602
1014061440
117a34628
1248614a8
132bb43a3
141c20608
15137b545
hexd68f80

14061440 has 64 divisors (see below), whose sum is σ = 34076160. Its totient is φ = 5548032.

The previous prime is 14061427. The next prime is 14061449. The reversal of 14061440 is 4416041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14061449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81194 + ... + 81366.

It is an arithmetic number, because the mean of its divisors is an integer number (532440).

Almost surely, 214061440 is an apocalyptic number.

14061440 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 14061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17038080).

14061440 is an abundant number, since it is smaller than the sum of its proper divisors (20014720).

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

14061440 is a wasteful number, since it uses less digits than its factorization.

14061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 14061440 is about 3749.8586640032. The cubic root of 14061440 is about 241.3662812953.

Adding to 14061440 its reverse (4416041), we get a palindrome (18477481).

The spelling of 14061440 in words is "fourteen million, sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 173 254 320 346 508 635 640 692 865 1016 1270 1384 1730 2032 2540 2768 3460 4064 5080 5536 6920 8128 10160 11072 13840 16256 20320 21971 22144 27680 40640 43942 55360 81280 87884 109855 110720 175768 219710 351536 439420 703072 878840 1406144 1757680 2812288 3515360 7030720 14061440