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14284640 = 255731223
BaseRepresentation
bin110110011111…
…011101100000
3222212201211202
4312133131200
512124102030
61230100332
7232263116
oct66373540
928781752
1014284640
118077297
12494a6a8
132c61b66
141c7bab6
1513c2745
hexd9f760

14284640 has 48 divisors (see below), whose sum is σ = 34237728. Its totient is φ = 5630976.

The previous prime is 14284619. The next prime is 14284649. The reversal of 14284640 is 4648241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14284649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11069 + ... + 12291.

It is an arithmetic number, because the mean of its divisors is an integer number (713286).

Almost surely, 214284640 is an apocalyptic number.

14284640 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 14284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118864).

14284640 is an abundant number, since it is smaller than the sum of its proper divisors (19953088).

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

14284640 is a wasteful number, since it uses less digits than its factorization.

14284640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 14284640 is about 3779.5026127786. The cubic root of 14284640 is about 242.6366679228.

The spelling of 14284640 in words is "fourteen million, two hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1223 1460 2336 2446 2920 4892 5840 6115 9784 11680 12230 19568 24460 39136 48920 89279 97840 178558 195680 357116 446395 714232 892790 1428464 1785580 2856928 3571160 7142320 14284640