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14019984 = 24321153167
BaseRepresentation
bin110101011110…
…110110010000
3222101021210200
4311132312100
512042114414
61220255200
7230111406
oct65366620
928337720
1014019984
117a06470
124841500
132b9b564
141c0d476
15136e109
hexd5ed90

14019984 has 120 divisors (see below), whose sum is σ = 43872192. Its totient is φ = 4143360.

The previous prime is 14019977. The next prime is 14020001. The reversal of 14019984 is 48991041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83869 + ... + 84035.

Almost surely, 214019984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14019984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096).

14019984 is an abundant number, since it is smaller than the sum of its proper divisors (29852208).

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

14019984 is a wasteful number, since it uses less digits than its factorization.

14019984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 14019984 is about 3744.3269088048. The cubic root of 14019984 is about 241.1288487607.

The spelling of 14019984 in words is "fourteen million, nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 88 99 106 132 144 159 167 176 198 212 264 318 334 396 424 477 501 528 583 636 668 792 848 954 1002 1166 1272 1336 1503 1584 1749 1837 1908 2004 2332 2544 2672 3006 3498 3674 3816 4008 4664 5247 5511 6012 6996 7348 7632 8016 8851 9328 10494 11022 12024 13992 14696 16533 17702 20988 22044 24048 26553 27984 29392 33066 35404 41976 44088 53106 66132 70808 79659 83952 88176 97361 106212 132264 141616 159318 194722 212424 264528 292083 318636 389444 424848 584166 637272 778888 876249 1168332 1274544 1557776 1752498 2336664 3504996 4673328 7009992 14019984