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14818420 = 225292881
BaseRepresentation
bin111000100001…
…110001110100
31000212212001101
4320201301310
512243142140
61245335444
7236645251
oct70416164
930785041
1014818420
118401331
124b67584
1330baac6
141d7a428
15147a99a
hexe21c74

14818420 has 36 divisors (see below), whose sum is σ = 32265324. Its totient is φ = 5716480.

The previous prime is 14818409. The next prime is 14818421. The reversal of 14818420 is 2481841.

It can be written as a sum of positive squares in 6 ways, for example, as 725904 + 14092516 = 852^2 + 3754^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14818421) 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 11 ways as a sum of consecutive naturals, for example, 16380 + ... + 17260.

It is an arithmetic number, because the mean of its divisors is an integer number (896259).

Almost surely, 214818420 is an apocalyptic number.

14818420 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 14818420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132662).

14818420 is an abundant number, since it is smaller than the sum of its proper divisors (17446904).

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

14818420 is a wasteful number, since it uses less digits than its factorization.

14818420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 14818420 is about 3849.4700934025. The cubic root of 14818420 is about 245.6220207172.

The spelling of 14818420 in words is "fourteen million, eight hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 881 1682 1762 3364 3524 4205 4405 8410 8810 16820 17620 25549 51098 102196 127745 255490 510980 740921 1481842 2963684 3704605 7409210 14818420