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14286420 = 22325139571
BaseRepresentation
bin110110011111…
…111001010100
3222212211021200
4312133321110
512124131140
61230112500
7232301241
oct66377124
928784250
1014286420
118078665
12494b730
132c62905
141c7c5c8
1513c3030
hexd9fe54

14286420 has 72 divisors (see below), whose sum is σ = 43723680. Its totient is φ = 3775680.

The previous prime is 14286413. The next prime is 14286421. The reversal of 14286420 is 2468241.

14286420 is a `hidden beast` number, since 14 + 2 + 8 + 642 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14286421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24735 + ... + 25305.

Almost surely, 214286420 is an apocalyptic number.

14286420 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 14286420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21861840).

14286420 is an abundant number, since it is smaller than the sum of its proper divisors (29437260).

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

14286420 is a wasteful number, since it uses less digits than its factorization.

14286420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14286420 is about 3779.7380861642. The cubic root of 14286420 is about 242.6467457718.

It can be divided in two parts, 142864 and 20, that added together give a square (142884 = 3782).

The spelling of 14286420 in words is "fourteen million, two hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 571 695 834 1142 1251 1390 1668 1713 2085 2284 2502 2780 2855 3426 4170 5004 5139 5710 6255 6852 8340 8565 10278 11420 12510 17130 20556 25020 25695 34260 51390 79369 102780 158738 238107 317476 396845 476214 714321 793690 952428 1190535 1428642 1587380 2381070 2857284 3571605 4762140 7143210 14286420