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14359842 = 2377267
BaseRepresentation
bin110110110001…
…110100100010
31000000120000000
4312301310202
512134003332
61231440430
7233025300
oct66616442
930016000
1014359842
118118842
124986116
132c8a163
141c9b270
1513d9b7c
hexdb1d22

14359842 has 96 divisors (see below), whose sum is σ = 38139840. Its totient is φ = 4041576.

The previous prime is 14359841. The next prime is 14359859. The reversal of 14359842 is 24895341.

14359842 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14359797 and 14359806.

It is not an unprimeable number, because it can be changed into a prime (14359841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214293 + ... + 214359.

It is an arithmetic number, because the mean of its divisors is an integer number (397290).

Almost surely, 214359842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14359842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19069920).

14359842 is an abundant number, since it is smaller than the sum of its proper divisors (23779998).

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

14359842 is an frugal number, since it uses more digits than its factorization.

14359842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 14359842 is about 3789.4382169393. The cubic root of 14359842 is about 243.0617127211.

The spelling of 14359842 in words is "fourteen million, three hundred fifty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 67 81 98 126 134 147 162 189 201 243 294 378 402 441 469 486 567 603 729 882 938 1134 1206 1323 1407 1458 1701 1809 2187 2646 2814 3283 3402 3618 3969 4221 4374 5103 5427 6566 7938 8442 9849 10206 10854 11907 12663 15309 16281 19698 23814 25326 29547 30618 32562 35721 37989 48843 59094 71442 75978 88641 97686 107163 113967 146529 177282 214326 227934 265923 293058 341901 531846 683802 797769 1025703 1595538 2051406 2393307 4786614 7179921 14359842