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14018832 = 243429373
BaseRepresentation
bin110101011110…
…100100010000
3222101020020000
4311132210100
512042100312
61220250000
7230105142
oct65364420
928336200
1014018832
117a05613
124840900
132b9ab89
141c0cc92
15136dadc
hexd5e910

14018832 has 100 divisors (see below), whose sum is σ = 42086220. Its totient is φ = 4499712.

The previous prime is 14018821. The next prime is 14018867. The reversal of 14018832 is 23881041.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 6533136 = 2736^2 + 2556^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14018796 and 14018805.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 37398 + ... + 37770.

Almost surely, 214018832 is an apocalyptic number.

14018832 is a gapful number since it is divisible by the number (12) 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 14018832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21043110).

14018832 is an abundant number, since it is smaller than the sum of its proper divisors (28067388).

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

14018832 is a wasteful number, since it uses less digits than its factorization.

14018832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 14018832 is about 3744.1730729228. The cubic root of 14018832 is about 241.1222441873.

Adding to 14018832 its reverse (23881041), we get a palindrome (37899873).

The spelling of 14018832 in words is "fourteen million, eighteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 373 432 464 522 648 696 746 783 1044 1119 1296 1392 1492 1566 2088 2238 2349 2984 3132 3357 4176 4476 4698 5968 6264 6714 8952 9396 10071 10817 12528 13428 17904 18792 20142 21634 26856 30213 32451 37584 40284 43268 53712 60426 64902 80568 86536 97353 120852 129804 161136 173072 194706 241704 259608 292059 389412 483408 519216 584118 778824 876177 1168236 1557648 1752354 2336472 3504708 4672944 7009416 14018832